The 800M is a rare beast. If you like it, take care of it.
My .243 Win Mossberg 800 was stamped as a "BSM", but all indicators (including inquiries with the Mossberg Historical Society) pointed to it being a factory prototype for the "Scoped Police" model, circa 1972-76.
It was an good rifle, and quite accurate. Although the action was very rough, internally, it didn't bother me much. It still functioned reliably. (I ended up using some rubbing compound to smooth out the action, anyway.)
What I had a problem with, and the reason I got rid of mine, was the safety. If the safety was not absolutely, positively locked into the detent, it could be pushed off by pulling the trigger. I could not live with that, and it was a design flaw - not a wear, failure, or misuse issue.
I know that proper, safe operation of the rifle means that the user ensures the safety has been put on properly, but my 800BSM was mainly intended for my wife and kids (and my brothers' kids) to use. I know, without a doubt, that they would forget at the worst possible time....
So having a glaring safety issue was the rifle's fatal flaw.
If the rifle had been for me, only, I would have kept it.
When I got it, it was painted in white/grey/black camo. As a joke, I repainted it in the pink and purple camo shown, and renamed it "The Flamer". Strangely, the paint job grew on me; and it remained in that state for 2-3 years. When it came time to sell it, I refinished the rifle. I think it came out looking pretty dang good for something that was originally a parts gun intended to be more of a factory "proof of concept", than an actual rifle.
...and even better, when you know that it spent 28 years as a truck gun, bouncing around behind the seat of various farm trucks; and that is was then painted by two different idiot owners, before being refinished.
Pictures don't do justice for how good that "junk" stock ended up looking with 12+ hand-rubbed coats of Fromby's and tung oil on top of a 400-grit final sand.
They still don't bring out the detail you can see in person, but there are some more photos here:
Pressed Checkering Full of Paint - Iron it out, Sand it off, or Both?
The first images are at the bottom of page 1. The (slightly) more interesting photos are on page 2.
Bottom line...?
They're good rifles, if you can live with the safety.
Like most rifles, it will probably be more accurate than the shooter.
I'd love to see some photos of your 800M, if you can post them.