74820800 has 84 divisors (see below), whose sum is σ = 186330336. Its totient is φ = 29568000.

The previous prime is 74820799. The next prime is 74820827. The reversal of 74820800 is 802847.

It is a super-2 number, since 2×74820800² = 11196304225280000, which contains 22 as substring.

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, 161369 + ... + 161831.

Almost surely, 2^74820800 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 74820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93165168).

74820800 is an abundant number, since it is smaller than the sum of its proper divisors (111509536).

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

74820800 is a wasteful number, since it uses less digits than its factorization.

74820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 74820800 is about 8649.9017335459. The cubic root of 74820800 is about 421.3801911603.

The spelling of 74820800 in words is "seventy-four million, eight hundred twenty thousand, eight hundred".