I've had one in 270 and several in 30-06, still have a 7600 in 30-06. I bought them all used and they would all shoot 1.5" or better groups with ammo they liked. The biggest downfall of them is the triggers, they are pretty terrible unless you work them over. Timney makes a trigger kit for a 20 gauge 870 that apparently fits, my gunsmith put one in my 7615 (pump 223 rifle takes AR mags). The little 7615 fits between the seat and console of my F350 and is handy for coyotes or other varmints around the ranch.
Two of the 30-06 760's I had are now owned by friends I went to college with. I loaned them out to the two left handed guys for deer season and they both wanted to buy them real bad. I picked the 7600 up last summer and ended up loaning it out too, but got it back after the buddy got his doe. For deer drives the pump guns are hard to beat. We don't do them much anymore but it's nice to have one if we do. I could see it going on a hog or black bear hunt in the future too. Basically anywhere fast handling and follow up shots are more likely to be important than shooting past 250yds, the pump rifles are a darn good choice in my opinion. The pumps can sure be accurate enough to shoot further too, but the triggers seem to hold them back at least for me. Shooting sticks are more difficult to use with the forend's little bit of wiggle and tips on bullets seem to get battered in the magazine boxes pretty quick on recoil. For those reasons I like them better at close to mid-range than on long shots.