813716000 has 48 divisors (see below), whose sum is σ = 1999310040. Its totient is φ = 325484800.

The previous prime is 813715979. The next prime is 813716003. The reversal of 813716000 is 617318.

It can be written as a sum of positive squares in 4 ways, for example, as 42876304 + 770839696 = 6548^2 + 27764^2 .

It is not an unprimeable number, because it can be changed into a prime (813716003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97715 + ... + 105714.

Almost surely, 2^813716000 is an apocalyptic number.

813716000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813716000 is an abundant number, since it is smaller than the sum of its proper divisors (1185594040).

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

813716000 is a wasteful number, since it uses less digits than its factorization.

813716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203454 (or 203436 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 813716000 is about 28525.7077037538. The cubic root of 813716000 is about 933.5930683019.

The spelling of 813716000 in words is "eight hundred thirteen million, seven hundred sixteen thousand".