577220 has 72 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 181440.

The previous prime is 577219. The next prime is 577249. The reversal of 577220 is 22775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18605 + ... + 18635.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁵⁷⁷²²⁰ 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 577220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

577220 is an abundant number, since it is smaller than the sum of its proper divisors (954940).

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

577220 is a wasteful number, since it uses less digits than its factorization.

577220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 577220 is about 759.7499588680. The cubic root of 577220 is about 83.2620546051.

Adding to 577220 its reverse (22775), we get a palindrome (599995).

It can be divided in two parts, 5772 and 20, that multiplied together give a triangular number (115440 = T₄₈₀).

The spelling of 577220 in words is "five hundred seventy-seven thousand, two hundred twenty".