577778880 has 224 divisors, whose sum is σ = 2116141056. Its totient is φ = 130830336.

The previous prime is 577778879. The next prime is 577778891. The reversal of 577778880 is 88877775.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 577778880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853102 + ... + 853778.

Almost surely, 2^577778880 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 577778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058070528).

577778880 is an abundant number, since it is smaller than the sum of its proper divisors (1538362176).

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

577778880 is a wasteful number, since it uses less digits than its factorization.

577778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 57.

The square root of 577778880 is about 24037.0314306904. The cubic root of 577778880 is about 832.8891812723.

The spelling of 577778880 in words is "five hundred seventy-seven million, seven hundred seventy-eight thousand, eight hundred eighty".