720p and 1366x768 Resolution

Hi,

I bought a 15.6" Dell laptop for my in-laws, and it was advertised as
720p.

http://tinyurl.com/84hhnbu

I had assumed that the native resolution would be xxxx X 720. But, it
automatically set itself to 1366 X 768, and there was no selection for
anything like xxx X 720. I was not entirely happy with the clarity of
the screen, but it's ok.

Am I correct in thinking that the screen was not running at it's best
resolution? And, that's just the way it is these days? I'm going to be
looking for my own 15.6" laptop soon. Should I stay away from anything
advertised as 720p or 1080p if I want the clearest screen I can get?

I don't plan (and neither do my in-laws) on watching TV or streaming on
the laptop.

TIA