576800 has 72 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 195840.

The previous prime is 576791. The next prime is 576881. The reversal of 576800 is 8675.

It is a self number, because there is not a number n which added to its sum of digits gives 576800.

It is an unprimeable number.

576800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5549 + ... + 5651.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2⁵⁷⁶⁸⁰⁰ is an apocalyptic number.

576800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

576800 is an abundant number, since it is smaller than the sum of its proper divisors (1048096).

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

576800 is a wasteful number, since it uses less digits than its factorization.

576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 576800 is about 759.4735018419. The cubic root of 576800 is about 83.2418551733.

The spelling of 576800 in words is "five hundred seventy-six thousand, eight hundred".