813609360 has 400 divisors, whose sum is σ = 3033448704. Its totient is φ = 201636864.

The previous prime is 813609331. The next prime is 813609389. The reversal of 813609360 is 63906318.

It is a happy number.

813609360 is a `hidden beast` number, since 8 + 13 + 609 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (813609331) and next prime (813609389).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7899069 + ... + 7899171.

Almost surely, 2^813609360 is an apocalyptic number.

813609360 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 813609360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516724352).

813609360 is an abundant number, since it is smaller than the sum of its proper divisors (2219839344).

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

813609360 is a wasteful number, since it uses less digits than its factorization.

813609360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 813609360 is about 28523.8384513726. The cubic root of 813609360 is about 933.5522830999.

The spelling of 813609360 in words is "eight hundred thirteen million, six hundred nine thousand, three hundred sixty".