809088 has 96 divisors (see below), whose sum is σ = 2558160. Its totient is φ = 225792.

The previous prime is 809087. The next prime is 809093. The reversal of 809088 is 880908.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (809087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18795 + ... + 18837.

2⁸⁰⁹⁰⁸⁸ 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 809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279080).

809088 is an abundant number, since it is smaller than the sum of its proper divisors (1749072).

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

809088 is a wasteful number, since it uses less digits than its factorization.

809088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 809088 is about 899.4931906357. The cubic root of 809088 is about 93.1819769038.

The spelling of 809088 in words is "eight hundred nine thousand, eighty-eight".