8125768 has 48 divisors (see below), whose sum is σ = 18673200. Its totient is φ = 3296160.

The previous prime is 8125759. The next prime is 8125781. The reversal of 8125768 is 8675218.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6903 + ... + 7993.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 2^8125768 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 8125768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336600).

8125768 is an abundant number, since it is smaller than the sum of its proper divisors (10547432).

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

8125768 is a wasteful number, since it uses less digits than its factorization.

8125768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1119 counting only the distinct ones).

The product of its digits is 26880, while the sum is 37.

The square root of 8125768 is about 2850.5732756763. The cubic root of 8125768 is about 201.0426219194.

The spelling of 8125768 in words is "eight million, one hundred twenty-five thousand, seven hundred sixty-eight".