900576800 has 54 divisors (see below), whose sum is σ = 2200607199. Its totient is φ = 359891200.

The previous prime is 900576797. The next prime is 900576827. The reversal of 900576800 is 8675009.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

900576800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 467770384 + 432806416 = 21628^2 + 20804^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=21220.

It is a super-2 number, since 2×900576800² = 1622077145396480000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 848270 + ... + 849330.

Almost surely, 2^900576800 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 900576800

900576800 is an abundant number, since it is smaller than the sum of its proper divisors (1300030399).

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

900576800 is an equidigital number, since it uses as much as digits as its factorization.

900576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 900576800 is about 30009.6117935571. The cubic root of 900576800 is about 965.6955976983.

The spelling of 900576800 in words is "nine hundred million, five hundred seventy-six thousand, eight hundred".