87784 has 8 divisors (see below), whose sum is σ = 164610. Its totient is φ = 43888.

The previous prime is 87767. The next prime is 87793. The reversal of 87784 is 48778.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 14884 = 270^2 + 122^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5479 + ... + 5494.

2⁸⁷⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

87784 is a deficient number, since it is larger than the sum of its proper divisors (76826).

87784 is a wasteful number, since it uses less digits than its factorization.

87784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10975 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 87784 is about 296.2836478782. The cubic root of 87784 is about 44.4431795936.

It can be divided in two parts, 877 and 84, that added together give a square (961 = 31²).

The spelling of 87784 in words is "eighty-seven thousand, seven hundred eighty-four".