74396800 has 96 divisors (see below), whose sum is σ = 187063920. Its totient is φ = 29230080.

The previous prime is 74396771. The next prime is 74396809. The reversal of 74396800 is 869347.

It is a self number, because there is not a number n which added to its sum of digits gives 74396800.

It is not an unprimeable number, because it can be changed into a prime (74396809) 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 11 ways as a sum of consecutive naturals, for example, 214227 + ... + 214573.

Almost surely, 2^74396800 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 74396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93531960).

74396800 is an abundant number, since it is smaller than the sum of its proper divisors (112667120).

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

74396800 is a wasteful number, since it uses less digits than its factorization.

74396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 74396800 is about 8625.3579635862. The cubic root of 74396800 is about 420.5827134597.

The spelling of 74396800 in words is "seventy-four million, three hundred ninety-six thousand, eight hundred".