78338 has 16 divisors (see below), whose sum is σ = 133056. Its totient is φ = 34320.

The previous prime is 78317. The next prime is 78341. The reversal of 78338 is 83387.

It is a super-2 number, since 2×78338² = 12273684488, which contains 22 as substring.

It is a house number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 78338.

It is an unprimeable number.

78338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 533 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁷⁸³³⁸ is an apocalyptic number.

78338 is a deficient number, since it is larger than the sum of its proper divisors (54718).

78338 is a wasteful number, since it uses less digits than its factorization.

78338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its digits is 4032, while the sum is 29.

The square root of 78338 is about 279.8892638170. The cubic root of 78338 is about 42.7882140663.

The spelling of 78338 in words is "seventy-eight thousand, three hundred thirty-eight".