786822720763968 has 672 divisors, whose sum is σ = 2875647805655040. Its totient is φ = 200242416107520.

The previous prime is 786822720763967. The next prime is 786822720763997. The reversal of 786822720763968 is 869367027228687.

786822720763968 is a `hidden beast` number, since 7 + 86 + 82 + 2 + 7 + 2 + 0 + 76 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (786822720763967) 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, 1279888983 + ... + 1280503593.

Almost surely, 2^{786822720763968} 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 786822720763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437823902827520).

786822720763968 is an abundant number, since it is smaller than the sum of its proper divisors (2088825084891072).

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

786822720763968 is a wasteful number, since it uses less digits than its factorization.

786822720763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615655 (or 615642 counting only the distinct ones).

The product of its (nonzero) digits is 8193540096, while the sum is 81.

The spelling of 786822720763968 in words is "seven hundred eighty-six trillion, eight hundred twenty-two billion, seven hundred twenty million, seven hundred sixty-three thousand, nine hundred sixty-eight".