78015168 has 168 divisors, whose sum is σ = 278952960. Its totient is φ = 20252160.

The previous prime is 78015151. The next prime is 78015199. The reversal of 78015168 is 86151087.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 43473 + ... + 45231.

Almost surely, 2^78015168 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 78015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139476480).

78015168 is an abundant number, since it is smaller than the sum of its proper divisors (200937792).

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

78015168 is a wasteful number, since it uses less digits than its factorization.

78015168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 78015168 is about 8832.6195434877. The cubic root of 78015168 is about 427.2935619674.

The spelling of 78015168 in words is "seventy-eight million, fifteen thousand, one hundred sixty-eight".