809314368 has 112 divisors (see below), whose sum is σ = 2229672960. Its totient is φ = 258764800.

The previous prime is 809314361. The next prime is 809314369. The reversal of 809314368 is 863413908.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (809314361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063108 + ... + 1063868.

Almost surely, 2^809314368 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 809314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114836480).

809314368 is an abundant number, since it is smaller than the sum of its proper divisors (1420358592).

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

809314368 is a wasteful number, since it uses less digits than its factorization.

809314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 809314368 is about 28448.4510650404. The cubic root of 809314368 is about 931.9066629683.

The spelling of 809314368 in words is "eight hundred nine million, three hundred fourteen thousand, three hundred sixty-eight".