78032160 has 192 divisors, whose sum is σ = 277724160. Its totient is φ = 20715264.

The previous prime is 78032131. The next prime is 78032189. The reversal of 78032160 is 6123087.

It is an interprime number because it is at equal distance from previous prime (78032131) and next prime (78032189).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349809 + ... + 350031.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^78032160 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 78032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

78032160 is an abundant number, since it is smaller than the sum of its proper divisors (199692000).

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

78032160 is an equidigital number, since it uses as much as digits as its factorization.

78032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78032160 is about 8833.5813801651. The cubic root of 78032160 is about 427.3245817692.

The spelling of 78032160 in words is "seventy-eight million, thirty-two thousand, one hundred sixty".