78315 has 16 divisors (see below), whose sum is σ = 131328. Its totient is φ = 39776.

The previous prime is 78311. The next prime is 78317. The reversal of 78315 is 51387.

It is a cyclic number.

It is not a de Polignac number, because 78315 - 2² = 78311 is a prime.

It is a super-2 number, since 2×78315² = 12266478450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78315.

It is not an unprimeable number, because it can be changed into a prime (78311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁷⁸³¹⁵ is an apocalyptic number.

78315 is a deficient number, since it is larger than the sum of its proper divisors (53013).

78315 is a wasteful number, since it uses less digits than its factorization.

78315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

The product of its digits is 840, while the sum is 24.

The square root of 78315 is about 279.8481731225. The cubic root of 78315 is about 42.7840261233.

It can be divided in two parts, 78 and 315, that added together give a palindrome (393).

The spelling of 78315 in words is "seventy-eight thousand, three hundred fifteen".