74568400 has 60 divisors (see below), whose sum is σ = 180064492. Its totient is φ = 29675520.

The previous prime is 74568397. The next prime is 74568419. The reversal of 74568400 is 486547.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 62789776 = 3432^2 + 7924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110464 + ... + 111136.

Almost surely, 2^74568400 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 74568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90032246).

74568400 is an abundant number, since it is smaller than the sum of its proper divisors (105496092).

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

74568400 is a wasteful number, since it uses less digits than its factorization.

74568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 74568400 is about 8635.2996473776. The cubic root of 74568400 is about 420.9058302925.

The spelling of 74568400 in words is "seventy-four million, five hundred sixty-eight thousand, four hundred".