80 amps isn't really a problem for most decent size (the kind of size you would find in a car for instance) batteries. Batteries usually have a CCA rating (cold cranking Amps) on them, which is measured when the battery
is very cold and usually CCA ratings are in the 500 - 700 range. So the battery
should handle 80 amps no problem, as long as it's not for long enough to drain it.
(actually, for long life, most people reccommend not draining a deep cycle battery below 50%, and less than that for a start battery)