768108 has 54 divisors (see below), whose sum is σ = 2059372. Its totient is φ = 222640.

The previous prime is 768107. The next prime is 768127. The reversal of 768108 is 801867.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768108.

It is not an unprimeable number, because it can be changed into a prime (768101) 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 17 ways as a sum of consecutive naturals, for example, 33385 + ... + 33407.

2⁷⁶⁸¹⁰⁸ 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 768108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029686).

768108 is an abundant number, since it is smaller than the sum of its proper divisors (1291264).

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

768108 is a wasteful number, since it uses less digits than its factorization.

768108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

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

The square root of 768108 is about 876.4177086299. The cubic root of 768108 is about 91.5814318815.

Multiplying 768108 by its reverse (801867), we get a square (615920457636 = 784806²).

It can be divided in two parts, 768 and 108, that multiplied together give a square (82944 = 288²).

The spelling of 768108 in words is "seven hundred sixty-eight thousand, one hundred eight".