813768 has 32 divisors (see below), whose sum is σ = 2086560. Its totient is φ = 264320.

The previous prime is 813767. The next prime is 813797. The reversal of 813768 is 867318.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813768.

It is not an unprimeable number, because it can be changed into a prime (813767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (65205).

2⁸¹³⁷⁶⁸ 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 813768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280).

813768 is an abundant number, since it is smaller than the sum of its proper divisors (1272792).

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

813768 is a wasteful number, since it uses less digits than its factorization.

813768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 813768 is about 902.0909045102. The cubic root of 813768 is about 93.3612954767.

The spelling of 813768 in words is "eight hundred thirteen thousand, seven hundred sixty-eight".