768086978724744 has 384 divisors, whose sum is σ = 2288988021888000. Its totient is φ = 210334226319360.

The previous prime is 768086978724727. The next prime is 768086978724763. The reversal of 768086978724744 is 447427879680867.

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, 26875907847 + ... + 26875936425.

It is an arithmetic number, because the mean of its divisors is an integer number (5960906307000).

Almost surely, 2^{768086978724744} 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 768086978724744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144494010944000).

768086978724744 is an abundant number, since it is smaller than the sum of its proper divisors (1520901043163256).

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

768086978724744 is a wasteful number, since it uses less digits than its factorization.

768086978724744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30349 (or 30304 counting only the distinct ones).

The product of its (nonzero) digits is 50982027264, while the sum is 87.

The spelling of 768086978724744 in words is "seven hundred sixty-eight trillion, eighty-six billion, nine hundred seventy-eight million, seven hundred twenty-four thousand, seven hundred forty-four".