78385 has 8 divisors (see below), whose sum is σ = 95976. Its totient is φ = 61440.

The previous prime is 78367. The next prime is 78401. The reversal of 78385 is 58387.

78385 is nontrivially palindromic in base 4 and base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 69169 = 96^2 + 263^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-78385 is a prime.

It is a super-2 number, since 2×78385² = 12288416450, which contains 22 as substring.

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

It is a Duffinian number.

78385 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (11997).

2⁷⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

78385 is a deficient number, since it is larger than the sum of its proper divisors (17591).

78385 is a wasteful number, since it uses less digits than its factorization.

78385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its digits is 6720, while the sum is 31.

The square root of 78385 is about 279.9732130044. The cubic root of 78385 is about 42.7967694886.

It can be divided in two parts, 783 and 85, that added together give a palindrome (868).

The spelling of 78385 in words is "seventy-eight thousand, three hundred eighty-five".