Perfect math SAT, sickening CR... chances?

<p>My math SAT was a perfect 800... my CR was too horrible to even mention. I have 3.8 GPA, and good ECs, bunch of APs, and massive extras.... looking only at my SATs, what are my chances at Caltech, UCB, or MIT, and what should I do to improve them.</p>

<p>I know, I didn't give too much information, but I'm a competitive type of guy and I don't want competitors to have the same boosts and specialties as I.</p>

<p>The need to know you can write papers, so we'll need to know the other scores.</p>