809922432 has 128 divisors (see below), whose sum is σ = 2485209600. Its totient is φ = 230973440.

The previous prime is 809922427. The next prime is 809922433. The reversal of 809922432 is 234229908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809922433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66169 + ... + 77447.

It is an arithmetic number, because the mean of its divisors is an integer number (19415700).

Almost surely, 2^809922432 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 809922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242604800).

809922432 is an abundant number, since it is smaller than the sum of its proper divisors (1675287168).

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

809922432 is a wasteful number, since it uses less digits than its factorization.

809922432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 809922432 is about 28459.1361780360. The cubic root of 809922432 is about 932.1399950571.

The spelling of 809922432 in words is "eight hundred nine million, nine hundred twenty-two thousand, four hundred thirty-two".