76705 has 12 divisors (see below), whose sum is σ = 99540. Its totient is φ = 56672.

The previous prime is 76697. The next prime is 76717. The reversal of 76705 is 50767.

76705 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 42849 = 184^2 + 207^2 .

It is not a de Polignac number, because 76705 - 2³ = 76697 is a prime.

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

76705 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 76705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2631 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (8295).

2⁷⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

76705 is a deficient number, since it is larger than the sum of its proper divisors (22835).

76705 is a wasteful number, since it uses less digits than its factorization.

76705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 76705 is about 276.9566753122. The cubic root of 76705 is about 42.4888090489.

The spelling of 76705 in words is "seventy-six thousand, seven hundred five".