825768 has 32 divisors (see below), whose sum is σ = 2294400. Its totient is φ = 275184.

The previous prime is 825763. The next prime is 825779. The reversal of 825768 is 867528.

825768 is a `hidden beast` number, since 82 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7⁷ + 5³ + 6² + 8 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825768.

It is not an unprimeable number, because it can be changed into a prime (825763) by changing a digit.

825768 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 7 ways as a sum of consecutive naturals, for example, 1696 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (71700).

2⁸²⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

825768 is an abundant number, since it is smaller than the sum of its proper divisors (1468632).

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

825768 is a wasteful number, since it uses less digits than its factorization.

825768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3828 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 825768 is about 908.7177779707. The cubic root of 825768 is about 93.8179667137.

The spelling of 825768 in words is "eight hundred twenty-five thousand, seven hundred sixty-eight".