77887 has 4 divisors (see below), whose sum is σ = 79056. Its totient is φ = 76720.

The previous prime is 77867. The next prime is 77893. The reversal of 77887 is 78877.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 77887 - 2¹⁵ = 45119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (19764).

2⁷⁷⁸⁸⁷ is an apocalyptic number.

77887 is a deficient number, since it is larger than the sum of its proper divisors (1169).

77887 is a wasteful number, since it uses less digits than its factorization.

77887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its digits is 21952, while the sum is 37.

The square root of 77887 is about 279.0824251005. The cubic root of 77887 is about 42.7059439208.

Subtracting 77887 from its reverse (78877), we obtain a triangular number (990 = T₄₄).

The spelling of 77887 in words is "seventy-seven thousand, eight hundred eighty-seven".