825778768 has 20 divisors (see below), whose sum is σ = 1614628180. Its totient is φ = 409100544.

The previous prime is 825778753. The next prime is 825778769. The reversal of 825778768 is 867877528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 332405824 + 493372944 = 18232^2 + 22212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825778769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235005 + ... + 238492.

It is an arithmetic number, because the mean of its divisors is an integer number (80731409).

Almost surely, 2^825778768 is an apocalyptic number.

It is an amenable number.

825778768 is a deficient number, since it is larger than the sum of its proper divisors (788849412).

825778768 is a wasteful number, since it uses less digits than its factorization.

825778768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473614 (or 473608 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 58.

The square root of 825778768 is about 28736.3666457679. The cubic root of 825778768 is about 938.1837450680.

It can be divided in two parts, 8257 and 78768, that added together give a square (87025 = 295²).

The spelling of 825778768 in words is "eight hundred twenty-five million, seven hundred seventy-eight thousand, seven hundred sixty-eight".