78606 has 24 divisors (see below), whose sum is σ = 186264. Its totient is φ = 23760.

The previous prime is 78593. The next prime is 78607. The reversal of 78606 is 60687.

78606 is a nontrivial binomial coefficient, being equal to C(397, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 78606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (7761).

2⁷⁸⁶⁰⁶ is an apocalyptic number.

78606 is the 396-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132).

78606 is an abundant number, since it is smaller than the sum of its proper divisors (107658).

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

78606 is a wasteful number, since it uses less digits than its factorization.

78606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78606 is about 280.3676158189. The cubic root of 78606 is about 42.8369523943.

The spelling of 78606 in words is "seventy-eight thousand, six hundred six".