768905892158976 has 1920 divisors, whose sum is σ = 2887139651235840. Its totient is φ = 200959111987200.

The previous prime is 768905892158933. The next prime is 768905892158983. The reversal of 768905892158976 is 679851298509867.

768905892158976 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 0 + 589 + 2 + 15 + 8 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15994523676 + ... + 15994571748.

It is an arithmetic number, because the mean of its divisors is an integer number (1503718568352).

Almost surely, 2^{768905892158976} 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 768905892158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443569825617920).

768905892158976 is an abundant number, since it is smaller than the sum of its proper divisors (2118233759076864).

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

768905892158976 is a wasteful number, since it uses less digits than its factorization.

768905892158976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48190 (or 48162 counting only the distinct ones).

The product of its (nonzero) digits is 32920473600, while the sum is 90.

The spelling of 768905892158976 in words is "seven hundred sixty-eight trillion, nine hundred five billion, eight hundred ninety-two million, one hundred fifty-eight thousand, nine hundred seventy-six".