74864080 has 120 divisors (see below), whose sum is σ = 191315880. Its totient is φ = 27202560.

The previous prime is 74864077. The next prime is 74864117. The reversal of 74864080 is 8046847.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 74787904 = 276^2 + 8648^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1227250 + ... + 1227310.

It is an arithmetic number, because the mean of its divisors is an integer number (1594299).

Almost surely, 2^74864080 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 74864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95657940).

74864080 is an abundant number, since it is smaller than the sum of its proper divisors (116451800).

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

74864080 is a wasteful number, since it uses less digits than its factorization.

74864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 74864080 is about 8652.4031343899. The cubic root of 74864080 is about 421.4614244508.

The spelling of 74864080 in words is "seventy-four million, eight hundred sixty-four thousand, eighty".