74412800 has 216 divisors, whose sum is σ = 231151872. Its totient is φ = 23040000.

The previous prime is 74412799. The next prime is 74412817. The reversal of 74412800 is 821447.

It is a self number, because there is not a number n which added to its sum of digits gives 74412800.

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, 492725 + ... + 492875.

Almost surely, 2^74412800 is an apocalyptic number.

74412800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115575936).

74412800 is an abundant number, since it is smaller than the sum of its proper divisors (156739072).

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

74412800 is a wasteful number, since it uses less digits than its factorization.

74412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 74412800 is about 8626.2854114619. The cubic root of 74412800 is about 420.6128618938.

The spelling of 74412800 in words is "seventy-four million, four hundred twelve thousand, eight hundred".