I inherited a 760 when my Dad died. It sure is easy to shoot running game with it compared to a bolt - your eye can stay on target easier. The trigger isn't great, but, as many have said - that can easily be remedied. They can rattle a bit.
I have found that some of them can be sensitive to load changes - but after you find the load the rifle likes they can be quite accurate.
For my Dad his 30-06 Remington 760 when loaded with 220 grain roundnose bullets was his DGR rifle - before the term became popular. Quite a few coastal grizzlies met their demise at the hand of that very rifle in my father's hands. Being a leftie - he found it easy to shoot well.
I still use it a bit for sentimental reasons - the first time I used it on game it was on a running Whitetail - it worked as well as my Dad always said it would.
