577080 has 96 divisors (see below), whose sum is σ = 2152800. Its totient is φ = 131328.

The previous prime is 577069. The next prime is 577081. The reversal of 577080 is 80775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2406 + ... + 2634.

It is an arithmetic number, because the mean of its divisors is an integer number (22425).

2⁵⁷⁷⁰⁸⁰ 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 577080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076400).

577080 is an abundant number, since it is smaller than the sum of its proper divisors (1575720).

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

577080 is a wasteful number, since it uses less digits than its factorization.

577080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 577080 is about 759.6578177048. The cubic root of 577080 is about 83.2553225502.

The spelling of 577080 in words is "five hundred seventy-seven thousand, eighty".