577980 has 108 divisors (see below), whose sum is σ = 1998360. Its totient is φ = 134784.

The previous prime is 577979. The next prime is 577981. The reversal of 577980 is 89775.

577980 is a `hidden beast` number, since 577 + 9 + 80 = 666.

577980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (577979) and next prime (577981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577981) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30411 + ... + 30429.

2⁵⁷⁷⁹⁸⁰ 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 577980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999180).

577980 is an abundant number, since it is smaller than the sum of its proper divisors (1420380).

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

577980 is a wasteful number, since it uses less digits than its factorization.

577980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 577980 is about 760.2499588951. The cubic root of 577980 is about 83.2985810649.

The spelling of 577980 in words is "five hundred seventy-seven thousand, nine hundred eighty".