74956800 has 180 divisors, whose sum is σ = 251912696. Its totient is φ = 19660800.

The previous prime is 74956789. The next prime is 74956807. The reversal of 74956800 is 865947.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74956807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228770 + ... + 1228830.

Almost surely, 2^74956800 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 74956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125956348).

74956800 is an abundant number, since it is smaller than the sum of its proper divisors (176955896).

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

74956800 is an equidigital number, since it uses as much as digits as its factorization.

74956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 74956800 is about 8657.7595254200. The cubic root of 74956800 is about 421.6353475639.

The spelling of 74956800 in words is "seventy-four million, nine hundred fifty-six thousand, eight hundred".