78523 has 8 divisors (see below), whose sum is σ = 86400. Its totient is φ = 71040.

The previous prime is 78517. The next prime is 78539. The reversal of 78523 is 32587.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-78523 is a prime.

It is a d-powerful number, because it can be written as 7⁴ + 8² + 5⁴ + 2¹⁴ + 3¹⁰ .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78553) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁷⁸⁵²³ is an apocalyptic number.

78523 is a deficient number, since it is larger than the sum of its proper divisors (7877).

78523 is a wasteful number, since it uses less digits than its factorization.

78523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 1680, while the sum is 25.

The square root of 78523 is about 280.2195567765. The cubic root of 78523 is about 42.8218699189.

It can be divided in two parts, 785 and 23, that added together give a palindrome (808).

The spelling of 78523 in words is "seventy-eight thousand, five hundred twenty-three".