74798400 has 84 divisors (see below), whose sum is σ = 245416832. Its totient is φ = 19944960.

The previous prime is 74798389. The next prime is 74798441. The reversal of 74798400 is 489747.

It is a congruent number.

It is an unprimeable number.

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, 2992 + ... + 12591.

Almost surely, 2^74798400 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 74798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122708416).

74798400 is an abundant number, since it is smaller than the sum of its proper divisors (170618432).

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

74798400 is a wasteful number, since it uses less digits than its factorization.

74798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15608 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 74798400 is about 8648.6068242232. The cubic root of 74798400 is about 421.3381357497.

The spelling of 74798400 in words is "seventy-four million, seven hundred ninety-eight thousand, four hundred".