78428160 has 288 divisors, whose sum is σ = 291301920. Its totient is φ = 19464192.

The previous prime is 78428153. The next prime is 78428179. The reversal of 78428160 is 6182487.

78428160 is a `hidden beast` number, since 78 + 428 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119662 + ... + 2119698.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^78428160 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 78428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

78428160 is an abundant number, since it is smaller than the sum of its proper divisors (212873760).

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

78428160 is a wasteful number, since it uses less digits than its factorization.

78428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

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

The square root of 78428160 is about 8855.9674796151. The cubic root of 78428160 is about 428.0462290299.

The spelling of 78428160 in words is "seventy-eight million, four hundred twenty-eight thousand, one hundred sixty".