78842160 has 200 divisors, whose sum is σ = 286276320. Its totient is φ = 20110464.

The previous prime is 78842149. The next prime is 78842167. The reversal of 78842160 is 6124887.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78842167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3427909 + ... + 3427931.

Almost surely, 2^78842160 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 78842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143138160).

78842160 is an abundant number, since it is smaller than the sum of its proper divisors (207434160).

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

78842160 is an equidigital number, since it uses as much as digits as its factorization.

78842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78842160 is about 8879.3107840643. The cubic root of 78842160 is about 428.7980858216.

The spelling of 78842160 in words is "seventy-eight million, eight hundred forty-two thousand, one hundred sixty".