Anyone know if this apple tree can be saved?

Pretty old apple tree in the garden which produces hundreds of not-great-tasting apples every year looks like it’s in a bit of a state. I had to cut back a weird branch that had been cut before, presumably because it shot out horizontally, and there’s a ton of rot. It’s not in danger of hitting any buildings if it ever does fall, although could maybe take out a distracted child or two if I’m lucky. Is there anything I can do to save it?