Sweet baby Jesus, that is one sharp case! Most watches, specially gold ones, are attacked by polishing wheels in order to make them look new and shiny. Somebody not versed in watches sees a new looking watch, everybody here sees a worn and tired watch case. Yours is truly in pristine condition.
It should be a Longines Automatic Conquest reference 7290 with a 633 movement. The only way to know for sure would be by removing the case back and looking at it. I have seen them listed for around $2k in pristine condition but that is 'listed', I don't know if they actually sold for that.