The Sun, along with the entire solar system, orbits the center of the Milky Way galaxy at a speed of approximately 220 kilometers per second (137 miles per second).

This translates to about 490,000 miles per hour (790,000 km/h)!

It's important to note that this is an average speed and the Sun's actual speed varies slightly due to the gravitational influence of other stars and gas clouds in the galaxy.