78627168 has 72 divisors (see below), whose sum is σ = 235380600. Its totient is φ = 24827904.

The previous prime is 78627121. The next prime is 78627169. The reversal of 78627168 is 86172687.

78627168 is a `hidden beast` number, since 7 + 8 + 627 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78627169) 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, 1713 + ... + 12656.

It is an arithmetic number, because the mean of its divisors is an integer number (3269175).

Almost surely, 2^78627168 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 78627168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117690300).

78627168 is an abundant number, since it is smaller than the sum of its proper divisors (156753432).

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

78627168 is a wasteful number, since it uses less digits than its factorization.

78627168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14404 (or 14393 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 78627168 is about 8867.1961746654. The cubic root of 78627168 is about 428.4079727140.

The spelling of 78627168 in words is "seventy-eight million, six hundred twenty-seven thousand, one hundred sixty-eight".