768091896000 has 1792 divisors, whose sum is σ = 3362498979840. Its totient is φ = 171320832000.

The previous prime is 768091895999. The next prime is 768091896001. The reversal of 768091896000 is 698190867.

It is an interprime number because it is at equal distance from previous prime (768091895999) and next prime (768091896001).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (768091896001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2501927847 + ... + 2501928153.

It is an arithmetic number, because the mean of its divisors is an integer number (1876394520).

Almost surely, 2^768091896000 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 768091896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681249489920).

768091896000 is an abundant number, since it is smaller than the sum of its proper divisors (2594407083840).

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

768091896000 is a wasteful number, since it uses less digits than its factorization.

768091896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 768091896000 in words is "seven hundred sixty-eight billion, ninety-one million, eight hundred ninety-six thousand".