From what I know caltech rejects people with 800s in all sections of their SAT scores all the time.
Caltech is not just about SAT scores. I think the opinion is mostly that you should be able to pass a quiz like the SATs... not that passing it will help you, as much as not passing it is going to hurt.
Don't sweat the SATs, do your best on them, the other stuff is what really matters. There have been plenty of people who have gotten in with lower SAT scores too, so no worries, the average is only about 1500 or so. And seeing as there are plenty of 1600s in that average, then you've got some outliers in the opposite direction as well.
