Chance me for Harvard princeton yale + other selective schools

With senior year starting up I’d like to know where people think I stand application wise and where I can improve.
Demographics: White male, live in New England, go to a fairly good public high school (typically sends 5 students to HPYS a year), high income household (combined income >$400k), dad went to Harvard as undergrad and for law school
Intended major: something in social sciences or math
SAT: Math 2 800, World History 790, US History 780
ACT: 36
GPA: 4.0 (school doesn’t weigh gpa or hold a class rank)
Got all 5’s on APs junior year
Junior classes: AP LangComp, AP Calc BC, AP US History, Chemistry ACC (no AP until senior year + school forces you to take chemistry junior year), French 4 ACC (no AP until senior year), Symphonic Band ACC, Honors Economics (No accelerated option)
Senior classes: AP LitComp, AP Physics, AP Chemistry, AP US Gov, AP French, the world since 1945 honors, American legal system honors, band acc
ECs:
Play 3 instruments - piano, electric guitar, oboe
First chair oboe in one of boston youth symphony orchestra’s ensembles
Cofounded a hard rock band that plays around Boston
Performed several piano concerts at Symphony hall
AIME qualifier
NHS
Class president
Quiz bowl team captain
Captain of speech and debate and math team
President of model congress/un
State finalist in Geography Bee twice
Tutoring low-income inner city students
Organized several blood drives / fundraisers
Senior counselor at a summer camp teaching math / music theory to pre-teens
Won an award (not saying so I don’t completely doxx myself) for my National History Day paper

Colleges I’d like to be chanced on: Harvard (maybe ED), Yale, Princeton, Columbia, Stanford, NYU. (I have a bunch of safeties both in and out of state that I plan on applying to as well). The one thing I’m concerned about is how I don’t play a sport and if that will come back to hurt me. Will it? . Obviously no one can predict what a school like harvard will do but I’m just interested to see what people think my chances are at schools like these. Thanks

Of the most selective schools on your last, Harvard REA (not ED) as a legacy is your best shot. NYU is match, borderline safety. Great essays, and enthusiastic recs will help.

Decent shot at Harvard but only if you SCEA. Class president is a plus, and AIME qualifier is a slight surprise for your profile.

A very good friend of mine was also Harvard undergrad and HLS. All 3 of his kids were accepted to Harvard within the last decade with profiles that I wouldn’t consider any stronger than yours.

Good luck!

Another factor-how active is OP’s father when it comes to Harvard alumni association functions/annual giving.

If there is a record of annual donations and being active in alumni events, that’s a good thing. No school wants to antagonize an active alumnus by denying/deferring admissions to a child, especially one with a strong academic profile like the OP.

Harvard and NYU seem obtainable for different reasons. Too bad your HS doesn’t rank students - Stanford likes to go by class ranking and nab those #1s in their class. (Interestingly, Dartmouth has a Mathematics and Social Sciences (MSS) major. Data analytics is important in every field now!)