I have a Logitech K400 for the family room and a K830 for my bedroom.
Everyone in my house loves the K400 and it handles being treated like a remote (tossed on the couch, falling on the rug etc) very well.
Only thing is this: I personally turn off tap to click, tap to drag and a bunch of other stuff to keep me from accidentally clicking and dragging and zooming whenever I touch the touchpad. But the K400's software (SetPoint) doesn't retain its settings very well and I find myself doing all that crap anyway and having to re-apply my settings quite often.
So if you're considering the K400, I suggest focusing on the K400 Plus which is basically the same thing but uses newer software that actually retains whatever settings you want.
The K830 is very nice but it's pricey and was a bit of a splurge. The backlight is great, the software (Logitech Options) retains its settings and it has a premium feel to it. Honestly though, its a very close experience to the K400/K400 plus so I wouldn't spring for anything besides a 50 dollar refurbished one.
Just for reference, I've also used a Lenovo N5902. Although backlit, the sensor thingy was pretty awkward to use so I upgraded to this Iogear Multimedia Keyboard. It was comfortable to use but the trackball didn't survive long being used my my gf's kids. The keycaps would pop off as well. I've also used just a wireless keyboard and mouse which was a pain.