74576400 has 120 divisors (see below), whose sum is σ = 247246080. Its totient is φ = 19192320.

The previous prime is 74576389. The next prime is 74576401. The reversal of 74576400 is 467547.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (74576401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33729 + ... + 35871.

It is an arithmetic number, because the mean of its divisors is an integer number (2060384).

Almost surely, 2^74576400 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 74576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123623040).

74576400 is an abundant number, since it is smaller than the sum of its proper divisors (172669680).

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

74576400 is a wasteful number, since it uses less digits than its factorization.

74576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 74576400 is about 8635.7628499166. The cubic root of 74576400 is about 420.9208819151.

The spelling of 74576400 in words is "seventy-four million, five hundred seventy-six thousand, four hundred".