<p>This is all up to you. There is no right or wrong answer.
If you think in April you would be wondering “Gee if I had applied to Vanderbilt I wonder if I would have got in?” - then apply.
In general, I am a big fan of having as many options as possible. You don’t really know how many acceptances you’ll get at the other 8, including your first choice schools, so why not try?
If you can get good grades in high school including AP classes and have a 780 on the Math component, you are probably just as smart as most people at those schools. The school won’t admit you if they think you can’t handle the workload.</p>