576000768 has 144 divisors (see below), whose sum is σ = 1762745600. Its totient is φ = 163565568.

The previous prime is 576000757. The next prime is 576000769. The reversal of 576000768 is 867000675.

It is not an unprimeable number, because it can be changed into a prime (576000769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650258 + ... + 1650606.

Almost surely, 2^576000768 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 576000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881372800).

576000768 is an abundant number, since it is smaller than the sum of its proper divisors (1186744832).

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

576000768 is a wasteful number, since it uses less digits than its factorization.

576000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 576000768 is about 24000.0159999947. The cubic root of 576000768 is about 832.0338990133.

The spelling of 576000768 in words is "five hundred seventy-six million, seven hundred sixty-eight", and thus it is an aban number.