78600 has 48 divisors (see below), whose sum is σ = 245520. Its totient is φ = 20800.

The previous prime is 78593. The next prime is 78607. The reversal of 78600 is 687.

It is an interprime number because it is at equal distance from previous prime (78593) and next prime (78607).

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

78600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (5115).

2⁷⁸⁶⁰⁰ 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 78600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

78600 is an abundant number, since it is smaller than the sum of its proper divisors (166920).

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

78600 is a wasteful number, since it uses less digits than its factorization.

78600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 78600 is about 280.3569153775. The cubic root of 78600 is about 42.8358624510.

The spelling of 78600 in words is "seventy-eight thousand, six hundred".