Oh, and yes that's a Ford 9" rear end you got there.
The good thing about all Early Broncos coming with such a desirable differential is that they rarely get swapped out for something else. Most of us still have them under our rigs except the beasts that need still more beef in their diet, or have swapped in a Ford 8.8" for the brakes.
The stock axles were all 28 spline, with 31 and 35 spline axle shafts being available through the aftermarket.
There were two styles used on Broncos with "small bearing" or "big bearing" ends on them.
They were almost always accompanied by the smaller 10" diameter, or larger 11" diameter drum brakes as well.
Some other minor variations, but those are the main categories. There was a change in housing shape/design in '77 like the full-size trucks got. We also sell some very good large bearing and heavily reinforced housings for not too much money by today's standards:
https://www.wildhorses4x4.com/category/Bronco_Rear_Housing
Should you ever need one.
Very strong and a huge number of gear choices. Some good yoke choices too, from mild to wild.
Here are some that we offer:
https://www.wildhorses4x4.com/category/s?keyword=pinion+yoke
Even a stock one at $70 bucks should last the life of the vehicle if it's not abused. So whether you just go with another stock one, or upgrade in material and size for about double that, depends on how you intend to use your truck.
Good luck.
Paul