74996800 has 84 divisors (see below), whose sum is σ = 194330320. Its totient is φ = 28408320.

The previous prime is 74996791. The next prime is 74996821. The reversal of 74996800 is 869947.

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, 29167 + ... + 31633.

Almost surely, 2^74996800 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 74996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97165160).

74996800 is an abundant number, since it is smaller than the sum of its proper divisors (119333520).

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

74996800 is a wasteful number, since it uses less digits than its factorization.

74996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 74996800 is about 8660.0692837875. The cubic root of 74996800 is about 421.7103348222.

The spelling of 74996800 in words is "seventy-four million, nine hundred ninety-six thousand, eight hundred".