87777 has 8 divisors (see below), whose sum is σ = 130080. Its totient is φ = 58500.

The previous prime is 87767. The next prime is 87793. The reversal of 87777 is 77778.

It is not a de Polignac number, because 87777 - 2⁷ = 87649 is a prime.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87767) 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, 1599 + ... + 1652.

It is an arithmetic number, because the mean of its divisors is an integer number (16260).

2⁸⁷⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

87777 is a deficient number, since it is larger than the sum of its proper divisors (42303).

87777 is a wasteful number, since it uses less digits than its factorization.

87777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3254 counting only the distinct ones).

The product of its digits is 19208, while the sum is 36.

The square root of 87777 is about 296.2718346384. The cubic root of 87777 is about 44.4419982450.

Subtracting from 87777 its reverse (77778), we obtain a palindrome (9999).

The spelling of 87777 in words is "eighty-seven thousand, seven hundred seventy-seven".