This ACCUQUARTZ watch appears to be somewhat unusual. The dial does not have the accutron emblem but has an unknown emblem (looks like it might be from the Luftwaff!!!) perhaps some company logo as a presentation watch. It is strange there are no serial numbers. I believe the band may be original but there is no manufactures name and only imprinted with USA.
I recently purchased this watch and was quite surprised at how pristine the watch is.
Very nice watch. Model is known as Accuquartz. I don't think any of them had an Accutron logo on the dial. Band is most likely a replacement as it has the 'expanders' that make it fit different lug spacing. Having said that, it is possible that it was installed when the watch was sold - perhaps the purchaser wanted an stretch band as opposed to deployment bracelet or a strap. In my experience they can cause a bit of lug damage as they exert constant pressure on the lugs, where a normal 'sized' bracelet will not.