508772880 has 960 divisors, whose sum is σ = 2442700800. Its totient is φ = 95800320.

The previous prime is 508772833. The next prime is 508772921. The reversal of 508772880 is 88277805.

It is a happy number.

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

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 191 ways as a sum of consecutive naturals, for example, 22120549 + ... + 22120571.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^508772880 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 508772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221350400).

508772880 is an abundant number, since it is smaller than the sum of its proper divisors (1933927920).

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

508772880 is a wasteful number, since it uses less digits than its factorization.

508772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 508772880 is about 22555.9943252343. The cubic root of 508772880 is about 798.3156645899.

The spelling of 508772880 in words is "five hundred eight million, seven hundred seventy-two thousand, eight hundred eighty".