74944800 has 216 divisors, whose sum is σ = 302230656. Its totient is φ = 17118720.

The previous prime is 74944781. The next prime is 74944817. The reversal of 74944800 is 844947.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49657 + ... + 51143.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^74944800 is an apocalyptic number.

74944800 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 74944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

74944800 is an abundant number, since it is smaller than the sum of its proper divisors (227285856).

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

74944800 is a wasteful number, since it uses less digits than its factorization.

74944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74944800 is about 8657.0664777394. The cubic root of 74944800 is about 421.6128461844.

The spelling of 74944800 in words is "seventy-four million, nine hundred forty-four thousand, eight hundred".