825936768 has 48 divisors (see below), whose sum is σ = 2376722400. Its totient is φ = 275311872.

The previous prime is 825936763. The next prime is 825936779. The reversal of 825936768 is 867639528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825936763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357328 + ... + 359631.

It is an arithmetic number, because the mean of its divisors is an integer number (49515050).

Almost surely, 2^825936768 is an apocalyptic number.

It is an amenable number.

825936768 is an abundant number, since it is smaller than the sum of its proper divisors (1550785632).

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

825936768 is a wasteful number, since it uses less digits than its factorization.

825936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716979 (or 716964 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 825936768 is about 28739.1156440138. The cubic root of 825936768 is about 938.2435769037.

The spelling of 825936768 in words is "eight hundred twenty-five million, nine hundred thirty-six thousand, seven hundred sixty-eight".