788768 has 18 divisors (see below), whose sum is σ = 1562841. Its totient is φ = 391872.

The previous prime is 788761. The next prime is 788779. The reversal of 788768 is 867887.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 35344 = 868^2 + 188^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=628.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 788768.

It is not an unprimeable number, because it can be changed into a prime (788761) by changing a digit.

788768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4946 + ... + 5102.

2⁷⁸⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

788768 is a deficient number, since it is larger than the sum of its proper divisors (774073).

788768 is an equidigital number, since it uses as much as digits as its factorization.

788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 159 counting only the distinct ones).

The product of its digits is 150528, while the sum is 44.

The square root of 788768 is about 888.1261171703. The cubic root of 788768 is about 92.3952747095.

The spelling of 788768 in words is "seven hundred eighty-eight thousand, seven hundred sixty-eight".