74902080 has 224 divisors, whose sum is σ = 267297408. Its totient is φ = 17612800.

The previous prime is 74902073. The next prime is 74902081. The reversal of 74902080 is 8020947.

It is a super-2 number, since 2×74902080² = 11220643176652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (74902081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432874 + ... + 433046.

It is an arithmetic number, because the mean of its divisors is an integer number (1193292).

Almost surely, 2^74902080 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 74902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133648704).

74902080 is an abundant number, since it is smaller than the sum of its proper divisors (192395328).

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

74902080 is a wasteful number, since it uses less digits than its factorization.

74902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 74902080 is about 8654.5987775286. The cubic root of 74902080 is about 421.5327217723.

The spelling of 74902080 in words is "seventy-four million, nine hundred two thousand, eighty".