768639888 has 80 divisors (see below), whose sum is σ = 2217616000. Its totient is φ = 254897280.

The previous prime is 768639881. The next prime is 768639917. The reversal of 768639888 is 888936867.

It is not an unprimeable number, because it can be changed into a prime (768639881) 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, 81498 + ... + 90438.

It is an arithmetic number, because the mean of its divisors is an integer number (27720200).

Almost surely, 2^768639888 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 768639888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108808000).

768639888 is an abundant number, since it is smaller than the sum of its proper divisors (1448976112).

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

768639888 is a wasteful number, since it uses less digits than its factorization.

768639888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9145 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 768639888 is about 27724.3555019770. The cubic root of 768639888 is about 916.0256598648.

It can be divided in two parts, 7686 and 39888, that added together give a palindrome (47574).

The spelling of 768639888 in words is "seven hundred sixty-eight million, six hundred thirty-nine thousand, eight hundred eighty-eight".