Cal 565 is correct for a 166.027.
https://www.omegawatches.com/watch-omega-seamaster-120-st-166-0027
You can check the serial number for the movement to see if it was manufactured in approximately the right year, but it's hard to do much more than that without ordering an Extract from Omega. If you order an Extract from Omega, they will give you details about the reference, the movement, where it was sold, etc.
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