78008 has 24 divisors (see below), whose sum is σ = 171000. Its totient is φ = 33264.

The previous prime is 78007. The next prime is 78017. The reversal of 78008 is 80087.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78007) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 293 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (7125).

2⁷⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85500).

78008 is an abundant number, since it is smaller than the sum of its proper divisors (92992).

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

78008 is a wasteful number, since it uses less digits than its factorization.

78008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 78008 is about 279.2991228056. The cubic root of 78008 is about 42.7280475051.

The spelling of 78008 in words is "seventy-eight thousand, eight".