Why we see in visible light?

I was wondering why we see in visible light?

By that I didn't mean why we see in "visible" light instead of "invisible" light! Whatever we see is visible light, by definition.

What I mean is why we see in the range 380 to 750 nm?

for example, our eye could have been sensitive to another portion of Electro magnetic spectrum For example, infra red could have been red, red could have been orange etc. and we don't see violet at all or the other way around.

That is the spectrum could have been 450 to 820 nm.

so what is special about visible part?
it is something special for we earth dwellers.
1. Sun's temperature being close to 6000K its blackbody radiation peaks at this range.
2. Earth's atmosphere has some set of Electromagnetic radiation windows with optical window with this same range being one of them.
This link explains more:
http://www.iop.org/EJ/article/0031-9120/42/1/002/pe7_1_002.pdf?request-id=274078a3-1121-4070-893f-5aabf8d9e489

A cute little fact is rattlesnakes have "eye" to see in infrared - to catch animals like us who radiate in infrared.
So if our sun were to peak in different wavelength range and our earth were to be atmosphere-less [or of different composition] we would be seeing different visible light!
Of course we would be seeing only visible light, by definition!