813365920 has 24 divisors (see below), whose sum is σ = 1921577364. Its totient is φ = 325346304.

The previous prime is 813365899. The next prime is 813365921. The reversal of 813365920 is 29563318.

813365920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 806332816 + 7033104 = 28396^2 + 2652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 813365920.

It is not an unprimeable number, because it can be changed into a prime (813365921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2541609 + ... + 2541928.

Almost surely, 2^813365920 is an apocalyptic number.

813365920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813365920 is an abundant number, since it is smaller than the sum of its proper divisors (1108211444).

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

813365920 is a wasteful number, since it uses less digits than its factorization.

813365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083552 (or 5083544 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 813365920 is about 28519.5708242603. The cubic root of 813365920 is about 933.4591644407.

The spelling of 813365920 in words is "eight hundred thirteen million, three hundred sixty-five thousand, nine hundred twenty".