768517776 has 480 divisors, whose sum is σ = 2729825280. Its totient is φ = 199065600.

The previous prime is 768517753. The next prime is 768517843. The reversal of 768517776 is 677715867.

768517776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (3457440) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18744316 + ... + 18744356.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^768517776 is an apocalyptic number.

768517776 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768517776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

768517776 is an abundant number, since it is smaller than the sum of its proper divisors (1961307504).

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

768517776 is a wasteful number, since it uses less digits than its factorization.

768517776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The square root of 768517776 is about 27722.1531631293. The cubic root of 768517776 is about 915.9771483528.

The spelling of 768517776 in words is "seven hundred sixty-eight million, five hundred seventeen thousand, seven hundred seventy-six".