78093 has 6 divisors (see below), whose sum is σ = 112814. Its totient is φ = 52056.

The previous prime is 78079. The next prime is 78101. The reversal of 78093 is 39087.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 19044 = 243^2 + 138^2 .

It is not a de Polignac number, because 78093 - 2¹⁰ = 77069 is a prime.

It is a Duffinian number.

78093 is a lucky number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

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 78093.

It is not an unprimeable number, because it can be changed into a prime (78193) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4330 + ... + 4347.

2⁷⁸⁰⁹³ is an apocalyptic number.

It is an amenable number.

78093 is a deficient number, since it is larger than the sum of its proper divisors (34721).

78093 is a wasteful number, since it uses less digits than its factorization.

78093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 78093 is about 279.4512479843. The cubic root of 78093 is about 42.7435611519.

It can be divided in two parts, 7 and 8093, that added together give a square (8100 = 90²).

The spelling of 78093 in words is "seventy-eight thousand, ninety-three".