577920 has 128 divisors (see below), whose sum is σ = 2154240. Its totient is φ = 129024.

The previous prime is 577919. The next prime is 577931. The reversal of 577920 is 29775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13419 + ... + 13461.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2⁵⁷⁷⁹²⁰ 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 577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077120).

577920 is an abundant number, since it is smaller than the sum of its proper divisors (1576320).

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

577920 is a wasteful number, since it uses less digits than its factorization.

577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 577920 is about 760.2104971651. The cubic root of 577920 is about 83.2956985616.

The spelling of 577920 in words is "five hundred seventy-seven thousand, nine hundred twenty".