810768 has 80 divisors (see below), whose sum is σ = 2539520. Its totient is φ = 217728.

The previous prime is 810763. The next prime is 810769. The reversal of 810768 is 867018.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810768.

It is not an unprimeable number, because it can be changed into a prime (810763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6321 + ... + 6447.

It is an arithmetic number, because the mean of its divisors is an integer number (31744).

2⁸¹⁰⁷⁶⁸ 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 810768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269760).

810768 is an abundant number, since it is smaller than the sum of its proper divisors (1728752).

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

810768 is a wasteful number, since it uses less digits than its factorization.

810768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 810768 is about 900.4265655788. The cubic root of 810768 is about 93.2464270398.

The spelling of 810768 in words is "eight hundred ten thousand, seven hundred sixty-eight".