813883392 has 336 divisors, whose sum is σ = 2862437760. Its totient is φ = 217645056.

The previous prime is 813883391. The next prime is 813883417. The reversal of 813883392 is 293388318.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813883391) 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 23 ways as a sum of consecutive naturals, for example, 9805783 + ... + 9805865.

It is an arithmetic number, because the mean of its divisors is an integer number (8519160).

Almost surely, 2^813883392 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 813883392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431218880).

813883392 is an abundant number, since it is smaller than the sum of its proper divisors (2048554368).

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

813883392 is a wasteful number, since it uses less digits than its factorization.

813883392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 813883392 is about 28528.6416080402. The cubic root of 813883392 is about 933.6570813384.

The spelling of 813883392 in words is "eight hundred thirteen million, eight hundred eighty-three thousand, three hundred ninety-two".