77823 has 6 divisors (see below), whose sum is σ = 112424. Its totient is φ = 51876.

The previous prime is 77813. The next prime is 77839. The reversal of 77823 is 32877.

It is not a de Polignac number, because 77823 - 2¹² = 73727 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4315 + ... + 4332.

2⁷⁷⁸²³ is an apocalyptic number.

77823 is a deficient number, since it is larger than the sum of its proper divisors (34601).

77823 is a wasteful number, since it uses less digits than its factorization.

77823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8650 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 77823 is about 278.9677400704. The cubic root of 77823 is about 42.6942435113.

It can be divided in two parts, 77 and 823, that added together give a square (900 = 30²).

The spelling of 77823 in words is "seventy-seven thousand, eight hundred twenty-three".