78368 has 24 divisors (see below), whose sum is σ = 161280. Its totient is φ = 37440.

The previous prime is 78367. The next prime is 78401. The reversal of 78368 is 86387.

It is a super-2 number, since 2×78368² = 12283086848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (8064) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 953 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁷⁸³⁶⁸ 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 78368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

78368 is an abundant number, since it is smaller than the sum of its proper divisors (82912).

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

78368 is a wasteful number, since it uses less digits than its factorization.

78368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 78368 is about 279.9428513108. The cubic root of 78368 is about 42.7936753691.

Adding to 78368 its sum of digits (32), we get a square (78400 = 280²).

The spelling of 78368 in words is "seventy-eight thousand, three hundred sixty-eight".