810088960 has 80 divisors (see below), whose sum is σ = 1971722016. Its totient is φ = 319131648.

The previous prime is 810088933. The next prime is 810089017. The reversal of 810088960 is 69880018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×810088960² = 1312488246227763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169159 + ... + 173881.

Almost surely, 2^810088960 is an apocalyptic number.

810088960 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 810088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985861008).

810088960 is an abundant number, since it is smaller than the sum of its proper divisors (1161633056).

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

810088960 is an equidigital number, since it uses as much as digits as its factorization.

810088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 810088960 is about 28462.0617664989. The cubic root of 810088960 is about 932.2038763892.

The spelling of 810088960 in words is "eight hundred ten million, eighty-eight thousand, nine hundred sixty".