577879680 has 512 divisors, whose sum is σ = 2318745600. Its totient is φ = 119439360.

The previous prime is 577879639. The next prime is 577879697. The reversal of 577879680 is 86978775.

577879680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 577879680.

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 63 ways as a sum of consecutive naturals, for example, 7916124 + ... + 7916196.

It is an arithmetic number, because the mean of its divisors is an integer number (4528800).

Almost surely, 2^577879680 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 577879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159372800).

577879680 is an abundant number, since it is smaller than the sum of its proper divisors (1740865920).

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

577879680 is a wasteful number, since it uses less digits than its factorization.

577879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The square root of 577879680 is about 24039.1281039891. The cubic root of 577879680 is about 832.9376140728.

It can be divided in two parts, 5778 and 79680, that added together give a palindrome (85458).

The spelling of 577879680 in words is "five hundred seventy-seven million, eight hundred seventy-nine thousand, six hundred eighty".