768752979696 has 480 divisors, whose sum is σ = 2459442585600. Its totient is φ = 222477373440.

The previous prime is 768752979689. The next prime is 768752979697. The reversal of 768752979696 is 696979257867.

768752979696 is a `hidden beast` number, since 7 + 6 + 87 + 529 + 7 + 9 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×768752979696² (a number of 25 digits) contains 22 as substring.

Its product of digits (4320812160) is a multiple of the sum of its prime divisors (1620).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768752979697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596394220 + ... + 596395508.

It is an arithmetic number, because the mean of its divisors is an integer number (5123838720).

Almost surely, 2^768752979696 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 768752979696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229721292800).

768752979696 is an abundant number, since it is smaller than the sum of its proper divisors (1690689605904).

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

768752979696 is a wasteful number, since it uses less digits than its factorization.

768752979696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its digits is 4320812160, while the sum is 81.

The spelling of 768752979696 in words is "seven hundred sixty-eight billion, seven hundred fifty-two million, nine hundred seventy-nine thousand, six hundred ninety-six".