Too many credit cards opened for the underwriter?

I'm contemplating jumping into the travel hacking game.

Anyways... my credit stay up close to 800 all the time.  As long as I keep that high and my utilization low as I normally do, would any underwriter on a property have a problem with too many credit cards being opened at any given time?  I'm not talking about opening a bunch at a time, and not while a loan is in underwriting.