768116544 has 112 divisors (see below), whose sum is σ = 2196754560. Its totient is φ = 235468800.

The previous prime is 768116539. The next prime is 768116549. The reversal of 768116544 is 445611867.

It is an interprime number because it is at equal distance from previous prime (768116539) and next prime (768116549).

It is a junction number, because it is equal to n+sod(n) for n = 768116496 and 768116505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768116549) 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, 1095394 + ... + 1096094.

It is an arithmetic number, because the mean of its divisors is an integer number (19613880).

Almost surely, 2^768116544 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 768116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098377280).

768116544 is an abundant number, since it is smaller than the sum of its proper divisors (1428638016).

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

768116544 is a wasteful number, since it uses less digits than its factorization.

768116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 768116544 is about 27714.9155510169. The cubic root of 768116544 is about 915.8177144694.

The spelling of 768116544 in words is "seven hundred sixty-eight million, one hundred sixteen thousand, five hundred forty-four".