A Mathematics department wants to attract the top ten percent of high school students based on the analytic portion of the SAT exam (SAT Math). They plan to send a letter containing academic scholarship information to every high school student in the state who received an SAT Math score in the top ten percent. If the mean is 510, the standard deviation is 80, and the SAT Math scores are rounded to the nearest 10 points, what is the lowest SAT Math score that would be used for sending letters?