78285168 has 240 divisors, whose sum is σ = 259983360. Its totient is φ = 21772800.

The previous prime is 78285161. The next prime is 78285173. The reversal of 78285168 is 86158287.

It is a super-2 number, since 2×78285168² = 12257135057576448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78285161) 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 47 ways as a sum of consecutive naturals, for example, 1102573 + ... + 1102643.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^78285168 is an apocalyptic number.

78285168 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 78285168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

78285168 is an abundant number, since it is smaller than the sum of its proper divisors (181698192).

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

78285168 is a wasteful number, since it uses less digits than its factorization.

78285168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 78285168 is about 8847.8905960686. The cubic root of 78285168 is about 427.7859295736.

It can be divided in two parts, 7828 and 5168, that added together give a square (12996 = 114²).

The spelling of 78285168 in words is "seventy-eight million, two hundred eighty-five thousand, one hundred sixty-eight".