809132688 has 180 divisors, whose sum is σ = 2837102268. Its totient is φ = 213373440.

The previous prime is 809132633. The next prime is 809132693. The reversal of 809132688 is 886231908.

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 506790144 = 17388^2 + 22512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87318 + ... + 96138.

Almost surely, 2^809132688 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 809132688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418551134).

809132688 is an abundant number, since it is smaller than the sum of its proper divisors (2027969580).

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

809132688 is a wasteful number, since it uses less digits than its factorization.

809132688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 809132688 is about 28445.2577418451. The cubic root of 809132688 is about 931.8369243188.

The spelling of 809132688 in words is "eight hundred nine million, one hundred thirty-two thousand, six hundred eighty-eight".