87789 has 8 divisors (see below), whose sum is σ = 126112. Its totient is φ = 54000.

The previous prime is 87767. The next prime is 87793. The reversal of 87789 is 98778.

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

It is not a de Polignac number, because 87789 - 2⁹ = 87277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 2251 = 87789 / (8 + 7 + 7 + 8 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87719) 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, 1087 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (15764).

2⁸⁷⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

87789 is a deficient number, since it is larger than the sum of its proper divisors (38323).

87789 is a wasteful number, since it uses less digits than its factorization.

87789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267.

The product of its digits is 28224, while the sum is 39.

The square root of 87789 is about 296.2920856182. The cubic root of 87789 is about 44.4440233756. Note that the first 3 decimals are identical.

The spelling of 87789 in words is "eighty-seven thousand, seven hundred eighty-nine".