812768 has 24 divisors (see below), whose sum is σ = 1746360. Its totient is φ = 369280.

The previous prime is 812761. The next prime is 812807. The reversal of 812768 is 867218.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 812768.

It is not an unprimeable number, because it can be changed into a prime (812761) by changing a digit.

812768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 803 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

2⁸¹²⁷⁶⁸ is an apocalyptic number.

812768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

812768 is an abundant number, since it is smaller than the sum of its proper divisors (933592).

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

812768 is a wasteful number, since it uses less digits than its factorization.

812768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 812768 is about 901.5364662619. The cubic root of 812768 is about 93.3230374130.

The spelling of 812768 in words is "eight hundred twelve thousand, seven hundred sixty-eight".