813507968 has 128 divisors (see below), whose sum is σ = 2010167040. Its totient is φ = 319334400.

The previous prime is 813507901. The next prime is 813507973. The reversal of 813507968 is 869705318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2457563 + ... + 2457893.

It is an arithmetic number, because the mean of its divisors is an integer number (15704430).

Almost surely, 2^813507968 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 813507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005083520).

813507968 is an abundant number, since it is smaller than the sum of its proper divisors (1196659072).

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

813507968 is a wasteful number, since it uses less digits than its factorization.

813507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 813507968 is about 28522.0610755955. The cubic root of 813507968 is about 933.5135017264.

The spelling of 813507968 in words is "eight hundred thirteen million, five hundred seven thousand, nine hundred sixty-eight".