813365280 has 384 divisors, whose sum is σ = 3505420800. Its totient is φ = 171528192.

The previous prime is 813365269. The next prime is 813365309. The reversal of 813365280 is 82563318.

813365280 is a `hidden beast` number, since 8 + 13 + 365 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 392086 + ... + 394154.

It is an arithmetic number, because the mean of its divisors is an integer number (9128700).

Almost surely, 2^813365280 is an apocalyptic number.

813365280 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 813365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752710400).

813365280 is an abundant number, since it is smaller than the sum of its proper divisors (2692055520).

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

813365280 is a wasteful number, since it uses less digits than its factorization.

813365280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 813365280 is about 28519.5596038929. The cubic root of 813365280 is about 933.4589196087.

The spelling of 813365280 in words is "eight hundred thirteen million, three hundred sixty-five thousand, two hundred eighty".