577978880 has 80 divisors (see below), whose sum is σ = 1430694144. Its totient is φ = 223703040.

The previous prime is 577978873. The next prime is 577978889. The reversal of 577978880 is 88879775.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (577978889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75719 + ... + 83001.

Almost surely, 2^577978880 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 577978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715347072).

577978880 is an abundant number, since it is smaller than the sum of its proper divisors (852715264).

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

577978880 is an equidigital number, since it uses as much as digits as its factorization.

577978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 59.

The square root of 577978880 is about 24041.1913182355. The cubic root of 577978880 is about 832.9852726003.

The spelling of 577978880 in words is "five hundred seventy-seven million, nine hundred seventy-eight thousand, eight hundred eighty".