78306 has 16 divisors (see below), whose sum is σ = 162048. Its totient is φ = 25200.

The previous prime is 78301. The next prime is 78307. The reversal of 78306 is 60387.

It is a super-2 number, since 2×78306² = 12263659272, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78306.

It is not an unprimeable number, because it can be changed into a prime (78301) 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, 25 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (10128).

2⁷⁸³⁰⁶ is an apocalyptic number.

78306 is an abundant number, since it is smaller than the sum of its proper divisors (83742).

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 (81024).

78306 is a wasteful number, since it uses less digits than its factorization.

78306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 78306 is about 279.8320925126. The cubic root of 78306 is about 42.7823871397.

The spelling of 78306 in words is "seventy-eight thousand, three hundred six".