Indeed it does, but unlike the Earth or other solid bodies, the gaseous bulk of the Sun rotates faster at its equator than at its poles. Galileo was the first person to discover the rotation of the Sun by watching sunspots drift across the face of the Sun in a little less than one month. In 1859, Richard Carrington made more accurate sunspot studies and discovered a solar rotation period at its equator of about 25 days, and at latitudes near 75 degrees of 33 days. Based on studies of sunspots, the formula for the daily rotation rate of the Sun is given by:
14.44 - 3.0 x sin*2(latitude) per day. ( Sidereal rate relative to the stars)
13.45 - 3.0 x sin*2(latitude) per day. ( Synodic rate relative to Earth observers)
where sin*2 is the square of the sin of the latitude.