809689104 has 240 divisors, whose sum is σ = 2771092480. Its totient is φ = 215550720.

The previous prime is 809689081. The next prime is 809689129. The reversal of 809689104 is 401986908.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 809689104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282869 + ... + 1283499.

Almost surely, 2^809689104 is an apocalyptic number.

809689104 is a gapful number since it is divisible by the number (84) 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 809689104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385546240).

809689104 is an abundant number, since it is smaller than the sum of its proper divisors (1961403376).

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

809689104 is a wasteful number, since it uses less digits than its factorization.

809689104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 809689104 is about 28455.0365313419. The cubic root of 809689104 is about 932.0504740358.

The spelling of 809689104 in words is "eight hundred nine million, six hundred eighty-nine thousand, one hundred four".