78459967170 has 160 divisors (see below), whose sum is σ = 230925063600. Its totient is φ = 18996456960.

The previous prime is 78459967153. The next prime is 78459967193. The reversal of 78459967170 is 7176995487.

78459967170 is a `hidden beast` number, since 7 + 8 + 459 + 9 + 6 + 7 + 170 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2570185809 + 75889781361 = 50697^2 + 275481^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78459967098 and 78459967107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 581256 + ... + 703404.

Almost surely, 2^78459967170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78459967170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115462531800).

78459967170 is an abundant number, since it is smaller than the sum of its proper divisors (152465096430).

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

78459967170 is a wasteful number, since it uses less digits than its factorization.

78459967170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122242 (or 122233 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 78459967170 in words is "seventy-eight billion, four hundred fifty-nine million, nine hundred sixty-seven thousand, one hundred seventy".