768681216 has 216 divisors, whose sum is σ = 2326431744. Its totient is φ = 243855360.

The previous prime is 768681203. The next prime is 768681227. The reversal of 768681216 is 612186867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6052545 + ... + 6052671.

Almost surely, 2^768681216 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 768681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163215872).

768681216 is an abundant number, since it is smaller than the sum of its proper divisors (1557750528).

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

768681216 is a wasteful number, since it uses less digits than its factorization.

768681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 768681216 is about 27725.1008293928. The cubic root of 768681216 is about 916.0420771020.

The spelling of 768681216 in words is "seven hundred sixty-eight million, six hundred eighty-one thousand, two hundred sixteen".