PIE base ‘to work, produce in abundance’.
Other derivatives include cooperate, opera, opus, opulent, omnipotent, omniscient, optimum, copious, and official, also from *dhē-, PIE root of ‘to do’.
[Pokorny *op-1 ‘to work, perform’, p. 780.]
The root verb in Integral Operating System, meaning ‘to manage, control’.