74008800 has 216 divisors, whose sum is σ = 275216760. Its totient is φ = 18662400.

The previous prime is 74008789. The next prime is 74008801. The reversal of 74008800 is 880047.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74008801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136530 + ... + 137070.

Almost surely, 2^74008800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137608380).

74008800 is an abundant number, since it is smaller than the sum of its proper divisors (201207960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74008800 is a wasteful number, since it uses less digits than its factorization.

74008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74008800 is about 8602.8367414476. The cubic root of 74008800 is about 419.8502867756.

Adding to 74008800 its reverse (880047), we get a palindrome (74888847).

The spelling of 74008800 in words is "seventy-four million, eight thousand, eight hundred".