I just tried my own suggestion. For a random sampling of wavelengths from 390 to 700, I converted each to RGB using this function
http://stackoverflow.com/a/3407960 Then I averaged the R, G, and B values. The result is 144, 122, 90 or #907A5A which is... a dim brown color, with a "hue" of 36 which is very orange.
Edit: undid sRGB conversion since I think i did it wrong.