78168312 has 48 divisors (see below), whose sum is σ = 224162640. Its totient is φ = 24523008.

The previous prime is 78168271. The next prime is 78168313. The reversal of 78168312 is 21386187.

It is a super-2 number, since 2×78168312² = 12220570001858688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78168313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30708 + ... + 33155.

It is an arithmetic number, because the mean of its divisors is an integer number (4670055).

Almost surely, 2^78168312 is an apocalyptic number.

78168312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78168312 is an abundant number, since it is smaller than the sum of its proper divisors (145994328).

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

78168312 is a wasteful number, since it uses less digits than its factorization.

78168312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63892 (or 63885 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 78168312 is about 8841.2845220590. The cubic root of 78168312 is about 427.5729720514.

The spelling of 78168312 in words is "seventy-eight million, one hundred sixty-eight thousand, three hundred twelve".