813722112 has 200 divisors, whose sum is σ = 2776700256. Its totient is φ = 232409088.

The previous prime is 813722111. The next prime is 813722141. The reversal of 813722112 is 211227318.

813722112 is a `hidden beast` number, since 81 + 372 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (813722111) 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 19 ways as a sum of consecutive naturals, for example, 288903 + ... + 291705.

Almost surely, 2^813722112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813722112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388350128).

813722112 is an abundant number, since it is smaller than the sum of its proper divisors (1962978144).

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

813722112 is an equidigital number, since it uses as much as digits as its factorization.

813722112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2815 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 813722112 is about 28525.8148349876. The cubic root of 813722112 is about 933.5954057704.

The spelling of 813722112 in words is "eight hundred thirteen million, seven hundred twenty-two thousand, one hundred twelve".