Our eyes register light in a different way than film, and can register even single photon hits in low light conditions. The "film speed" actually increases in our eyes at night far, far beyond what both digital or film could hope to reproduce in a consumer camera.
The technical part behind this change has to deal with how our eyes actually sense light. Each cell is constantly reprocessing photoreceptive chemicals that begin a chemical reaction when hit by a photon. This is what registers as "seeing light," and is responsible for a variety of phenomena, such as that black circle you see if you stare at the sun or another bright source (All the photopsins have been reacted away in that area). So, in dark conditions, there's less light breaking apart these chemicals, and so there's more of the chemical to do detection (why it takes our eyes so long to adjust to the dark, which requires chemical generation, versus light, where the chemicals are destroyed).
The wikipedia articles around the retna have a great selection of information if you are interested in looking into it further.