809317080 has 384 divisors, whose sum is σ = 3144960000. Its totient is φ = 177914880.

The previous prime is 809317057. The next prime is 809317087. The reversal of 809317080 is 80713908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809317087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4066821 + ... + 4067019.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^809317080 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 809317080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480000).

809317080 is an abundant number, since it is smaller than the sum of its proper divisors (2335642920).

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

809317080 is a wasteful number, since it uses less digits than its factorization.

809317080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 809317080 is about 28448.4987301615. The cubic root of 809317080 is about 931.9077039021.

The spelling of 809317080 in words is "eight hundred nine million, three hundred seventeen thousand, eighty".