78087168 has 132 divisors (see below), whose sum is σ = 232580140. Its totient is φ = 25214976.

The previous prime is 78087161. The next prime is 78087173. The reversal of 78087168 is 86178087.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 6718464 = 8448^2 + 2592^2 .

It is not an unprimeable number, because it can be changed into a prime (78087161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340878 + ... + 341106.

Almost surely, 2^78087168 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 78087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290070).

78087168 is an abundant number, since it is smaller than the sum of its proper divisors (154492972).

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

78087168 is a wasteful number, since it uses less digits than its factorization.

78087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 78087168 is about 8836.6944045837. The cubic root of 78087168 is about 427.4249709303.

The spelling of 78087168 in words is "seventy-eight million, eighty-seven thousand, one hundred sixty-eight".