768110688 has 120 divisors (see below), whose sum is σ = 2267690040. Its totient is φ = 255052800.

The previous prime is 768110671. The next prime is 768110689. The reversal of 768110688 is 886011867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768110689) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039023 + ... + 1039761.

It is an arithmetic number, because the mean of its divisors is an integer number (18897417).

Almost surely, 2^768110688 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 768110688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133845020).

768110688 is an abundant number, since it is smaller than the sum of its proper divisors (1499579352).

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

768110688 is a wasteful number, since it uses less digits than its factorization.

768110688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 768110688 is about 27714.8099037320. The cubic root of 768110688 is about 915.8153871133.

The spelling of 768110688 in words is "seven hundred sixty-eight million, one hundred ten thousand, six hundred eighty-eight".