Even if you could upgrade it, wouldn't you also have to get into the BIOS (or whatever the 770 equivalent is) in order for the unit to recognize the larger memory.

I wouldn't fool with it. Even if you could A) find the proper memory chip B) desolder and resolder it and C) update the BIOS, the OS may be written such that many internal functions exist at static memory locations, which could be thrown awry if you swap chips.

IOW, the "brick potential" is a solid 9.9.