The benchmark database has the device listed as the Note 7R (which may be the codename and not the name of the retail unit), and it's running Android 7.0 Nougat. The screen is listed as a 5.7-inch unit with Full HD resolution – the actual display will probably go up to Quad HD but run at 1080p out of the box, just like the Galaxy S8 and S8+. Other listed specs include 12-megapixel and 5-megapixel rear and front-facing camera, the Exynos 8890 clocked at 2.6GHz (GFXBench also lists the regular Note 7 at 2.6GHz even though the phone ran at 2.3GHz), 4GB of RAM, and 64GB of internal storage, all of which remain unchanged from the Note 7.
The battery size isn't mentioned, but reports suggest the phone will have a 3,200 mAh battery. A recent report also suggested the Note 7 FE/7R will come with Samsung's Bixby assistant, which means there will be an additional button dedicated to launching Bixby. The presence of Bixby won't come as a surprise, however, as Samsung is expected to build it into its mid-range devices as well. It would also make sense for the South Korean market, as Bixby is the most functional in Samsung's home country (it is also expected to go live in the US in the near future).
Of course, the biggest question is whether Samsung will bring the refurbished Galaxy Note 7 to markets outside South Korea. With the Galaxy Note 8 incoming, it's highly unlikely, but one can always hope.
