768456 has 48 divisors (see below), whose sum is σ = 2244060. Its totient is φ = 236160.

The previous prime is 768437. The next prime is 768457. The reversal of 768456 is 654867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 72900 = 834^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 768456.

It is not an unprimeable number, because it can be changed into a prime (768457) by changing a digit.

768456 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526 + ... + 1346.

2⁷⁶⁸⁴⁵⁶ 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 768456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122030).

768456 is an abundant number, since it is smaller than the sum of its proper divisors (1475604).

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

768456 is a wasteful number, since it uses less digits than its factorization.

768456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 768456 is about 876.6162216158. The cubic root of 768456 is about 91.5952604605.

The spelling of 768456 in words is "seven hundred sixty-eight thousand, four hundred fifty-six".