577796064 has 96 divisors (see below), whose sum is σ = 1594059264. Its totient is φ = 182899200.

The previous prime is 577796059. The next prime is 577796081. The reversal of 577796064 is 460697775.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 577795998 and 577796016.

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, 332542 + ... + 334274.

It is an arithmetic number, because the mean of its divisors is an integer number (16604784).

Almost surely, 2^577796064 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 577796064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797029632).

577796064 is an abundant number, since it is smaller than the sum of its proper divisors (1016263200).

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

577796064 is a wasteful number, since it uses less digits than its factorization.

577796064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 577796064 is about 24037.3888764982. The cubic root of 577796064 is about 832.8974383099.

The spelling of 577796064 in words is "five hundred seventy-seven million, seven hundred ninety-six thousand, sixty-four".