78168168 has 96 divisors (see below), whose sum is σ = 237968640. Its totient is φ = 22999680.

The previous prime is 78168149. The next prime is 78168169. The reversal of 78168168 is 86186187.

It is a super-2 number, since 2×78168168² = 12220524976952448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78168169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19713 + ... + 23343.

It is an arithmetic number, because the mean of its divisors is an integer number (2478840).

Almost surely, 2^78168168 is an apocalyptic number.

78168168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78168168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118984320).

78168168 is an abundant number, since it is smaller than the sum of its proper divisors (159800472).

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

78168168 is a wasteful number, since it uses less digits than its factorization.

78168168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3672 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 78168168 is about 8841.2763784422. The cubic root of 78168168 is about 427.5727094960.

The spelling of 78168168 in words is "seventy-eight million, one hundred sixty-eight thousand, one hundred sixty-eight".