### Instruction: How many even divisors does $7!$ have? Please write a program to solve it.### Response: import math

# calculate 7!
factorial_7 = math.factorial(7)

# function to calculate the number of even divisors
def count_even_divisors(n):
    count = 0
    for i in range(2, n + 1, 2):
        if n % i == 0:
            count += 1
    return count

# calculate the number of even divisors
even_divisors = count_even_divisors(factorial_7)

print(even_divisors)