Royal flush in poker is more like 1 in 6493. ;-)

How did you get there? GP is talking about being dealt it, I think you've calculated the chance of it occurring in a round or something?

Wikipedia has GP's at 649739, so yeah 'almost' a million, roughly speaking. 4 / ((52 nCr 5) - (4 nCr 1)). (Four suits, one way to do it in each suit, deck of 52, five card hand.)

In games where hands are made from 5 out of 7 cards (e.g. texas hold'em), the odds are 30,939:1

I can't think of any common form of poker where it would be ~6000:1