577920120 has 128 divisors (see below), whose sum is σ = 1819584000. Its totient is φ = 146639360.

The previous prime is 577920097. The next prime is 577920121. The reversal of 577920120 is 21029775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577920121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245911 + ... + 248249.

It is an arithmetic number, because the mean of its divisors is an integer number (14215500).

Almost surely, 2^577920120 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 577920120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909792000).

577920120 is an abundant number, since it is smaller than the sum of its proper divisors (1241663880).

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

577920120 is a wasteful number, since it uses less digits than its factorization.

577920120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 577920120 is about 24039.9692179503. The cubic root of 577920120 is about 832.9570432681.

Adding to 577920120 its reverse (21029775), we get a palindrome (598949895).

The spelling of 577920120 in words is "five hundred seventy-seven million, nine hundred twenty thousand, one hundred twenty".