76685205760 has 108 divisors (see below), whose sum is σ = 190240081668. Its totient is φ = 29615939584.

The previous prime is 76685205743. The next prime is 76685205761. The reversal of 76685205760 is 6750258667.

It can be written as a sum of positive squares in 6 ways, for example, as 7823048704 + 68862157056 = 88448^2 + 262416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76685205698 and 76685205707.

It is not an unprimeable number, because it can be changed into a prime (76685205761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040862 + ... + 1112098.

Almost surely, 2^76685205760 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 76685205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95120040834).

76685205760 is an abundant number, since it is smaller than the sum of its proper divisors (113554875908).

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

76685205760 is an equidigital number, since it uses as much as digits as its factorization.

76685205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71316 (or 71273 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 76685205760 in words is "seventy-six billion, six hundred eighty-five million, two hundred five thousand, seven hundred sixty".