77785 has 8 divisors (see below), whose sum is σ = 95616. Its totient is φ = 60720.

The previous prime is 77783. The next prime is 77797. The reversal of 77785 is 58777.

It is a happy number.

77785 is nontrivially palindromic in base 6.

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

It is not a de Polignac number, because 77785 - 2¹ = 77783 is a prime.

It is a Duffinian number.

77785 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 77785.

It is not an unprimeable number, because it can be changed into a prime (77783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (11952).

2⁷⁷⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

77785 is a deficient number, since it is larger than the sum of its proper divisors (17831).

77785 is a wasteful number, since it uses less digits than its factorization.

77785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its digits is 13720, while the sum is 34.

The square root of 77785 is about 278.8996235207. The cubic root of 77785 is about 42.6872933578.

The spelling of 77785 in words is "seventy-seven thousand, seven hundred eighty-five".