78108 has 24 divisors (see below), whose sum is σ = 190848. Its totient is φ = 24816.

The previous prime is 78101. The next prime is 78121. The reversal of 78108 is 80187.

It is a super-2 number, since 2×78108² = 12201719328, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78101) 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 7 ways as a sum of consecutive naturals, for example, 135 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (7952).

2⁷⁸¹⁰⁸ 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 78108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95424).

78108 is an abundant number, since it is smaller than the sum of its proper divisors (112740).

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

78108 is a wasteful number, since it uses less digits than its factorization.

78108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 78108 is about 279.4780850085. The cubic root of 78108 is about 42.7462976856.

The spelling of 78108 in words is "seventy-eight thousand, one hundred eight".