768208640 has 144 divisors (see below), whose sum is σ = 1907297280. Its totient is φ = 296325120.

The previous prime is 768208591. The next prime is 768208643. The reversal of 768208640 is 46802867.

768208640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768208643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7179467 + ... + 7179573.

It is an arithmetic number, because the mean of its divisors is an integer number (13245120).

Almost surely, 2^768208640 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 768208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953648640).

768208640 is an abundant number, since it is smaller than the sum of its proper divisors (1139088640).

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

768208640 is a wasteful number, since it uses less digits than its factorization.

768208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 768208640 is about 27716.5769892316. The cubic root of 768208640 is about 915.8543147215.

The spelling of 768208640 in words is "seven hundred sixty-eight million, two hundred eight thousand, six hundred forty".