577728720 has 320 divisors, whose sum is σ = 2153433600. Its totient is φ = 141926400.

The previous prime is 577728719. The next prime is 577728791. The reversal of 577728720 is 27827775.

It is a happy number.

577728720 is a `hidden beast` number, since 577 + 7 + 2 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1440520 + ... + 1440920.

It is an arithmetic number, because the mean of its divisors is an integer number (6729480).

Almost surely, 2^577728720 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 577728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076716800).

577728720 is an abundant number, since it is smaller than the sum of its proper divisors (1575704880).

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

577728720 is a wasteful number, since it uses less digits than its factorization.

577728720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The square root of 577728720 is about 24035.9880179701. The cubic root of 577728720 is about 832.8650780893.

The spelling of 577728720 in words is "five hundred seventy-seven million, seven hundred twenty-eight thousand, seven hundred twenty".