576132800 has 84 divisors (see below), whose sum is σ = 1441130976. Its totient is φ = 226636800.

The previous prime is 576132793. The next prime is 576132803. The reversal of 576132800 is 8231675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (576132803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94649 + ... + 100551.

Almost surely, 2^576132800 is an apocalyptic number.

576132800 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 576132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720565488).

576132800 is an abundant number, since it is smaller than the sum of its proper divisors (864998176).

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

576132800 is a wasteful number, since it uses less digits than its factorization.

576132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 576132800 is about 24002.7665072175. The cubic root of 576132800 is about 832.0974676248.

The spelling of 576132800 in words is "five hundred seventy-six million, one hundred thirty-two thousand, eight hundred".