512372880 has 60 divisors (see below), whose sum is σ = 1720721340. Its totient is φ = 136632576.

The previous prime is 512372857. The next prime is 512372891. The reversal of 512372880 is 88273215.

It can be written as a sum of positive squares in 2 ways, for example, as 52012944 + 460359936 = 7212^2 + 21456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 355095 + ... + 356534.

It is an arithmetic number, because the mean of its divisors is an integer number (28678689).

Almost surely, 2^512372880 is an apocalyptic number.

It is an amenable number.

512372880 is an abundant number, since it is smaller than the sum of its proper divisors (1208348460).

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

512372880 is a wasteful number, since it uses less digits than its factorization.

512372880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711648 (or 711639 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 512372880 is about 22635.6550601037. The cubic root of 512372880 is about 800.1941612063.

It can be divided in two parts, 51 and 2372880, that added together give a triangular number (2372931 = T₂₁₇₈).

The spelling of 512372880 in words is "five hundred twelve million, three hundred seventy-two thousand, eight hundred eighty".