0, u don't turn since you're on a curved track.
800 is a better answer. The track is 2.5 miles long so the race is 200 laps. From the Indy 500 website:
The track has four distinct turns and straightaways, a layout unchanged since the facility opened in 1909. The front and back straightaways are 5/8th of a mile each, with the "short chute" straightaways between Turns 1 and 2 and Turns 3 and 4 at 1/8th of a mile each. Each of the four turns is 1/4th of a mile long.
4x200 = 800 turns, all to the left.
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