78683996160 has 1440 divisors, whose sum is σ = 360691926210. Its totient is φ = 16349921280.

The previous prime is 78683996123. The next prime is 78683996161. The reversal of 78683996160 is 6169938687.

78683996160 is a `hidden beast` number, since 7 + 8 + 6 + 8 + 3 + 9 + 9 + 616 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70815596544 + 7868399616 = 266112^2 + 88704^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (78683996161) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7153090555 + ... + 7153090565.

Almost surely, 2^78683996160 is an apocalyptic number.

78683996160 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 78683996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180345963105).

78683996160 is an abundant number, since it is smaller than the sum of its proper divisors (282007930050).

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

78683996160 is an equidigital number, since it uses as much as digits as its factorization.

78683996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 78683996160 in words is "seventy-eight billion, six hundred eighty-three million, nine hundred ninety-six thousand, one hundred sixty".