87078 has 16 divisors (see below), whose sum is σ = 182016. Its totient is φ = 27720.

The previous prime is 87071. The next prime is 87083.

It is a happy number.

87078 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87078.

It is not an unprimeable number, because it can be changed into a prime (87071) by changing a digit.

87078 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (11376).

2⁸⁷⁰⁷⁸ is an apocalyptic number.

87078 is an abundant number, since it is smaller than the sum of its proper divisors (94938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91008).

87078 is a wasteful number, since it uses less digits than its factorization.

87078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

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

The square root of 87078 is about 295.0898168355. The cubic root of 87078 is about 44.3237144727.

The spelling of 87078 in words is "eighty-seven thousand, seventy-eight".