76. 888 little monkeys obtained 888 treasure chests, and lined them up in a row, numbered $1 \sim 888$. The first little monkey hit all the chests once, the second little monkey hit the chests with numbers that are multiples of 2 once, the third little monkey hit the chests with numbers that are multiples of 3 once... until the 888th little monkey finished. A magical situation occurred, the chests that were hit 9 times all opened. How many chests opened? $\qquad$
Answer: 8