768701275160 has 256 divisors, whose sum is σ = 2183860224000. Its totient is φ = 237025585152.

The previous prime is 768701275157. The next prime is 768701275213. The reversal of 768701275160 is 61572107867.

It is a super-2 number, since 2×768701275160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 768701275099 and 768701275108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38140766 + ... + 38160914.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704000).

Almost surely, 2^768701275160 is an apocalyptic number.

768701275160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768701275160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112000).

768701275160 is an abundant number, since it is smaller than the sum of its proper divisors (1415158948840).

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

768701275160 is a wasteful number, since it uses less digits than its factorization.

768701275160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20446 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 50.

The spelling of 768701275160 in words is "seven hundred sixty-eight billion, seven hundred one million, two hundred seventy-five thousand, one hundred sixty".