7887 has 8 divisors (see below), whose sum is σ = 11520. Its totient is φ = 4760.

The previous prime is 7883. The next prime is 7901.

It is a happy number.

7887 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 7887 - 2² = 7883 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

7887 is a deficient number, since it is larger than the sum of its proper divisors (3633).

7887 is a wasteful number, since it uses less digits than its factorization.

7887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its digits is 3136, while the sum is 30.

The square root of 7887 is about 88.8087833494. The cubic root of 7887 is about 19.9053864530.

It can be divided in two parts, 78 and 87, that multiplied together give a triangular number (6786 = T₁₁₆).

The spelling of 7887 in words is "seven thousand, eight hundred eighty-seven".