809664000 has 160 divisors (see below), whose sum is σ = 2692568736. Its totient is φ = 215859200.

The previous prime is 809663993. The next prime is 809664001. The reversal of 809664000 is 466908.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809664001) 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, 189892 + ... + 194108.

Almost surely, 2^809664000 is an apocalyptic number.

809664000 is a gapful number since it is divisible by the number (80) 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 809664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346284368).

809664000 is an abundant number, since it is smaller than the sum of its proper divisors (1882904736).

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

809664000 is an equidigital number, since it uses as much as digits as its factorization.

809664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 809664000 is about 28454.5954109349. The cubic root of 809664000 is about 932.0408413522.

The spelling of 809664000 in words is "eight hundred nine million, six hundred sixty-four thousand".