What is the remainder when 70 \times 71 \times 72 \times 73 \times 74 \times 75 \times 76 \times 77 \times 78 \times 79 is divided by 1000?

Explanation

The product contains the factors 75 and 70, which provide 25 \times 5 = 125. It also contains multiple even numbers (e.g., 72, 74), meaning it is heavily divisible by 8. Since it is divisible by both 125 and 8, it is perfectly divisible by 1000, making the remainder 0.

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