74774400 has 96 divisors (see below), whose sum is σ = 246319800. Its totient is φ = 19937280.

The previous prime is 74774393. The next prime is 74774419. The reversal of 74774400 is 447747.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5706 + ... + 13494.

Almost surely, 2^74774400 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 74774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123159900).

74774400 is an abundant number, since it is smaller than the sum of its proper divisors (171545400).

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

74774400 is a wasteful number, since it uses less digits than its factorization.

74774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 74774400 is about 8647.2192061957. The cubic root of 74774400 is about 421.2930670629.

The spelling of 74774400 in words is "seventy-four million, seven hundred seventy-four thousand, four hundred".