74866080 has 96 divisors (see below), whose sum is σ = 248270400. Its totient is φ = 18911232.

The previous prime is 74866069. The next prime is 74866091. The reversal of 74866080 is 8066847.

It is an interprime number because it is at equal distance from previous prime (74866069) and next prime (74866091).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5016 + ... + 13224.

It is an arithmetic number, because the mean of its divisors is an integer number (2586150).

Almost surely, 2^74866080 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 74866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124135200).

74866080 is an abundant number, since it is smaller than the sum of its proper divisors (173404320).

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

74866080 is a wasteful number, since it uses less digits than its factorization.

74866080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 74866080 is about 8652.5187084455. The cubic root of 74866080 is about 421.4651775428.

The spelling of 74866080 in words is "seventy-four million, eight hundred sixty-six thousand, eighty".