577872840 has 192 divisors, whose sum is σ = 1940731200. Its totient is φ = 137244672.

The previous prime is 577872839. The next prime is 577872863. The reversal of 577872840 is 48278775.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 577872840.

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 47 ways as a sum of consecutive naturals, for example, 658482 + ... + 659358.

It is an arithmetic number, because the mean of its divisors is an integer number (10107975).

Almost surely, 2^577872840 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 577872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970365600).

577872840 is an abundant number, since it is smaller than the sum of its proper divisors (1362858360).

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

577872840 is a wasteful number, since it uses less digits than its factorization.

577872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 577872840 is about 24038.9858355131. The cubic root of 577872840 is about 832.9343277395.

The spelling of 577872840 in words is "five hundred seventy-seven million, eight hundred seventy-two thousand, eight hundred forty".