78345 has 12 divisors (see below), whose sum is σ = 135876. Its totient is φ = 41760.

The previous prime is 78341. The next prime is 78347. The reversal of 78345 is 54387.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 69696 = 93^2 + 264^2 .

It is not a de Polignac number, because 78345 - 2² = 78341 is a prime.

It is a super-2 number, since 2×78345² = 12275878050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78345.

It is not an unprimeable number, because it can be changed into a prime (78341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (11323).

2⁷⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

78345 is a deficient number, since it is larger than the sum of its proper divisors (57531).

78345 is a wasteful number, since it uses less digits than its factorization.

78345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1749 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 78345 is about 279.9017684832. The cubic root of 78345 is about 42.7894884950.

It can be divided in two parts, 783 and 45, that added together give a palindrome (828).

The spelling of 78345 in words is "seventy-eight thousand, three hundred forty-five".