77863 has 2 divisors, whose sum is σ = 77864. Its totient is φ = 77862.

The previous prime is 77849. The next prime is 77867. The reversal of 77863 is 36877.

It is a strong prime.

It is an emirp because it is prime and its reverse (36877) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77863 - 2⁹ = 77351 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38931 + 38932.

It is an arithmetic number, because the mean of its divisors is an integer number (38932).

2⁷⁷⁸⁶³ is an apocalyptic number.

77863 is a deficient number, since it is larger than the sum of its proper divisors (1).

77863 is an equidigital number, since it uses as much as digits as its factorization.

77863 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 31.

The square root of 77863 is about 279.0394237379. The cubic root of 77863 is about 42.7015570186.

Subtracting from 77863 its product of digits (7056), we obtain a palindrome (70807).

It can be divided in two parts, 778 and 63, that added together give a square (841 = 29²).

The spelling of 77863 in words is "seventy-seven thousand, eight hundred sixty-three".