78168720 has 360 divisors, whose sum is σ = 312462144. Its totient is φ = 16084992.

The previous prime is 78168707. The next prime is 78168721. The reversal of 78168720 is 2786187.

It is a super-2 number, since 2×78168720² = 12220697572876800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78168721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3398629 + ... + 3398651.

Almost surely, 2^78168720 is an apocalyptic number.

78168720 is a gapful number since it is divisible by the number (70) 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 78168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156231072).

78168720 is an abundant number, since it is smaller than the sum of its proper divisors (234293424).

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

78168720 is a wasteful number, since it uses less digits than its factorization.

78168720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 78168720 is about 8841.3075955992. The cubic root of 78168720 is about 427.5737159567.

The spelling of 78168720 in words is "seventy-eight million, one hundred sixty-eight thousand, seven hundred twenty".