74998800 has 180 divisors, whose sum is σ = 264451824. Its totient is φ = 19680000.

The previous prime is 74998789. The next prime is 74998817. The reversal of 74998800 is 889947.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298675 + ... + 298925.

Almost surely, 2^74998800 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 74998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

74998800 is an abundant number, since it is smaller than the sum of its proper divisors (189453024).

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

74998800 is a wasteful number, since it uses less digits than its factorization.

74998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 74998800 is about 8660.1847555350. The cubic root of 74998800 is about 421.7140834851.

The spelling of 74998800 in words is "seventy-four million, nine hundred ninety-eight thousand, eight hundred".