It would be a model 760 which was never real popular, and not near as accurate as most bolt guns.
It would either be a 760, or a 7600, both fine rifles. My 760 shoots into an inch with my hunting load, which I consider fine accuracy with my indifferent bench technique. The one drawback to that rifle is the magazine, which is a bit twitchy during magazine changes. However, this isn't a battle rifle, it's a hunting rifle. Properly seating the magazine simply takes a little attention. You can't simply slam it in and go.
I'm always on the lookout for a nice Rem 760 in the used gun racks. Folks in these parts don't seem to like them much, but I've found that they're much more accurate than the shooter, generally.