78705 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 37440.

The previous prime is 78697. The next prime is 78707. The reversal of 78705 is 50787.

It is not a de Polignac number, because 78705 - 2³ = 78697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78705.

It is not an unprimeable number, because it can be changed into a prime (78707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁷⁸⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

78705 is a deficient number, since it is larger than the sum of its proper divisors (76815).

78705 is a wasteful number, since it uses less digits than its factorization.

78705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 78705 is about 280.5441141781. The cubic root of 78705 is about 42.8549284570.

It can be divided in two parts, 7870 and 5, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 78705 in words is "seventy-eight thousand, seven hundred five".