813813760 has 104 divisors (see below), whose sum is σ = 1981566720. Its totient is φ = 320765952.

The previous prime is 813813751. The next prime is 813813773. The reversal of 813813760 is 67318318.

It is a congruent number.

It is an unprimeable number.

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, 1617669 + ... + 1618171.

Almost surely, 2^813813760 is an apocalyptic number.

813813760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990783360).

813813760 is an abundant number, since it is smaller than the sum of its proper divisors (1167752960).

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

813813760 is an equidigital number, since it uses as much as digits as its factorization.

813813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 813813760 is about 28527.4211943526. The cubic root of 813813760 is about 933.6304541562.

The spelling of 813813760 in words is "eight hundred thirteen million, eight hundred thirteen thousand, seven hundred sixty".