809642960 has 80 divisors (see below), whose sum is σ = 2155028736. Its totient is φ = 277115904.

The previous prime is 809642959. The next prime is 809642983. The reversal of 809642960 is 69246908.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 523949 + ... + 525491.

Almost surely, 2^809642960 is an apocalyptic number.

809642960 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 809642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077514368).

809642960 is an abundant number, since it is smaller than the sum of its proper divisors (1345385776).

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

809642960 is a wasteful number, since it uses less digits than its factorization.

809642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 809642960 is about 28454.2256967221. The cubic root of 809642960 is about 932.0327679171.

The spelling of 809642960 in words is "eight hundred nine million, six hundred forty-two thousand, nine hundred sixty".