807813816 has 64 divisors (see below), whose sum is σ = 2112929280. Its totient is φ = 257099520.

The previous prime is 807813793. The next prime is 807813817. The reversal of 807813816 is 618318708.

It is a super-2 number, since 2×807813816² = 1305126322640963712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807813817) by changing a digit.

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, 37515 + ... + 54981.

It is an arithmetic number, because the mean of its divisors is an integer number (33014520).

Almost surely, 2^807813816 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 807813816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056464640).

807813816 is an abundant number, since it is smaller than the sum of its proper divisors (1305115464).

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

807813816 is a wasteful number, since it uses less digits than its factorization.

807813816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17564 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 807813816 is about 28422.0656532913. The cubic root of 807813816 is about 931.3303564069.

The spelling of 807813816 in words is "eight hundred seven million, eight hundred thirteen thousand, eight hundred sixteen".