577880320 has 72 divisors (see below), whose sum is σ = 1465682904. Its totient is φ = 217546752.

The previous prime is 577880291. The next prime is 577880327. The reversal of 577880320 is 23088775.

It can be written as a sum of positive squares in 4 ways, for example, as 107163904 + 470716416 = 10352^2 + 21696^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (577880327) 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, 8482 + ... + 35038.

It is an arithmetic number, because the mean of its divisors is an integer number (20356707).

Almost surely, 2^577880320 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 577880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732841452).

577880320 is an abundant number, since it is smaller than the sum of its proper divisors (887802584).

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

577880320 is a wasteful number, since it uses less digits than its factorization.

577880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26595 (or 26581 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 577880320 is about 24039.1414156163. The cubic root of 577880320 is about 832.9379215647.

The spelling of 577880320 in words is "five hundred seventy-seven million, eight hundred eighty thousand, three hundred twenty".