809000960 has 56 divisors (see below), whose sum is σ = 1941582096. Its totient is φ = 323584000.

The previous prime is 809000953. The next prime is 809000993. The reversal of 809000960 is 69000908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31085 + ... + 50835.

Almost surely, 2^809000960 is an apocalyptic number.

809000960 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 809000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970791048).

809000960 is an abundant number, since it is smaller than the sum of its proper divisors (1132581136).

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

809000960 is an equidigital number, since it uses as much as digits as its factorization.

809000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19782 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 809000960 is about 28442.9421825521. The cubic root of 809000960 is about 931.7863534305.

The spelling of 809000960 in words is "eight hundred nine million, nine hundred sixty", and thus it is an aban number.