576720000 has 400 divisors, whose sum is σ = 2168797950. Its totient is φ = 152064000.

The previous prime is 576719959. The next prime is 576720031. The reversal of 576720000 is 27675.

It can be written as a sum of positive squares in 5 ways, for example, as 1871424 + 574848576 = 1368^2 + 23976^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable 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 49 ways as a sum of consecutive naturals, for example, 6479956 + ... + 6480044.

Almost surely, 2^576720000 is an apocalyptic number.

576720000 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 576720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084398975).

576720000 is an abundant number, since it is smaller than the sum of its proper divisors (1592077950).

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

576720000 is an frugal number, since it uses more digits than its factorization.

576720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 576720000 is about 24014.9953154274. The cubic root of 576720000 is about 832.3800655079.

Adding to 576720000 its reverse (27675), we get a palindrome (576747675).

The spelling of 576720000 in words is "five hundred seventy-six million, seven hundred twenty thousand".