78456168 has 128 divisors (see below), whose sum is σ = 262272000. Its totient is φ = 21228480.

The previous prime is 78456167. The next prime is 78456199. The reversal of 78456168 is 86165487.

It is a happy number.

78456168 is a `hidden beast` number, since 7 + 84 + 561 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78456167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27363 + ... + 30093.

It is an arithmetic number, because the mean of its divisors is an integer number (2049000).

Almost surely, 2^78456168 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 78456168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131136000).

78456168 is an abundant number, since it is smaller than the sum of its proper divisors (183815832).

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

78456168 is a wasteful number, since it uses less digits than its factorization.

78456168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2762 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78456168 is about 8857.5486450823. The cubic root of 78456168 is about 428.0971771075.

The spelling of 78456168 in words is "seventy-eight million, four hundred fifty-six thousand, one hundred sixty-eight".