78759 has 8 divisors (see below), whose sum is σ = 116720. Its totient is φ = 52488.

The previous prime is 78737. The next prime is 78779. The reversal of 78759 is 95787.

It is a de Polignac number, because none of the positive numbers 2^k-78759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (14590).

It is the magic constant of a 54 × 54 magic square.

2⁷⁸⁷⁵⁹ is an apocalyptic number.

78759 is a deficient number, since it is larger than the sum of its proper divisors (37961).

78759 is a wasteful number, since it uses less digits than its factorization.

78759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2920 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 78759 is about 280.6403392244. The cubic root of 78759 is about 42.8647272292.

The spelling of 78759 in words is "seventy-eight thousand, seven hundred fifty-nine".