78843985920 has 360 divisors, whose sum is σ = 312383277024. Its totient is φ = 18020302848.

The previous prime is 78843985919. The next prime is 78843985921. The reversal of 78843985920 is 2958934887.

78843985920 is a `hidden beast` number, since 7 + 8 + 8 + 4 + 39 + 8 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78843985919) and next prime (78843985921).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78843985921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5153322 + ... + 5168598.

Almost surely, 2^78843985920 is an apocalyptic number.

78843985920 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 78843985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156191638512).

78843985920 is an abundant number, since it is smaller than the sum of its proper divisors (233539291104).

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

78843985920 is a wasteful number, since it uses less digits than its factorization.

78843985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15323 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 78843985920 in words is "seventy-eight billion, eight hundred forty-three million, nine hundred eighty-five thousand, nine hundred twenty".