810319680 has 112 divisors (see below), whose sum is σ = 2858658240. Its totient is φ = 216082944.

The previous prime is 810319673. The next prime is 810319687. The reversal of 810319680 is 86913018.

It is an interprime number because it is at equal distance from previous prime (810319673) and next prime (810319687).

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 (810319687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38254 + ... + 55533.

Almost surely, 2^810319680 is an apocalyptic number.

810319680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

810319680 is an abundant number, since it is smaller than the sum of its proper divisors (2048338560).

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

810319680 is a wasteful number, since it uses less digits than its factorization.

810319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93813 (or 93797 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 810319680 is about 28466.1145926170. The cubic root of 810319680 is about 932.2923677663.

The spelling of 810319680 in words is "eight hundred ten million, three hundred nineteen thousand, six hundred eighty".