74716800 has 192 divisors, whose sum is σ = 253212960. Its totient is φ = 19353600.

The previous prime is 74716799. The next prime is 74716877. The reversal of 74716800 is 861747.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412710 + ... + 412890.

Almost surely, 2^74716800 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 74716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126606480).

74716800 is an abundant number, since it is smaller than the sum of its proper divisors (178496160).

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

74716800 is a wasteful number, since it uses less digits than its factorization.

74716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 74716800 is about 8643.8880140826. Note that the first 3 decimals coincide. The cubic root of 74716800 is about 421.1848628545.

The spelling of 74716800 in words is "seventy-four million, seven hundred sixteen thousand, eight hundred".