813754368 has 432 divisors, whose sum is σ = 2949431940. Its totient is φ = 214695936.

The previous prime is 813754343. The next prime is 813754379. The reversal of 813754368 is 863457318.

It can be written as a sum of positive squares in 2 ways, for example, as 759112704 + 54641664 = 27552^2 + 7392^2 .

Its product of digits (483840) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15353830 + ... + 15353882.

Almost surely, 2^813754368 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 813754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474715970).

813754368 is an abundant number, since it is smaller than the sum of its proper divisors (2135677572).

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

813754368 is a wasteful number, since it uses less digits than its factorization.

813754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 813754368 is about 28526.3802120073. The cubic root of 813754368 is about 933.6077415359.

The spelling of 813754368 in words is "eight hundred thirteen million, seven hundred fifty-four thousand, three hundred sixty-eight".