809475432200 has 108 divisors (see below), whose sum is σ = 1902211602135. Its totient is φ = 320354746880.

The previous prime is 809475432187. The next prime is 809475432203. The reversal of 809475432200 is 2234574908.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 62125924 + 809413306276 = 7882^2 + 899674^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=636190.

It is not an unprimeable number, because it can be changed into a prime (809475432203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1437789119 + ... + 1437789681.

Almost surely, 2^809475432200 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 809475432200

809475432200 is an abundant number, since it is smaller than the sum of its proper divisors (1092736169935).

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

809475432200 is an equidigital number, since it uses as much as digits as its factorization.

809475432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 809475432200 in words is "eight hundred nine billion, four hundred seventy-five million, four hundred thirty-two thousand, two hundred".