768464256 has 96 divisors (see below), whose sum is σ = 2374553880. Its totient is φ = 219555840.

The previous prime is 768464251. The next prime is 768464269. The reversal of 768464256 is 652464867.

768464256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768464251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1605 + ... + 39236.

Almost surely, 2^768464256 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 768464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187276940).

768464256 is an abundant number, since it is smaller than the sum of its proper divisors (1606089624).

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

768464256 is a wasteful number, since it uses less digits than its factorization.

768464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40872 (or 40853 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 768464256 is about 27721.1878533370. The cubic root of 768464256 is about 915.9558848087.

The spelling of 768464256 in words is "seven hundred sixty-eight million, four hundred sixty-four thousand, two hundred fifty-six".