78500 has 24 divisors (see below), whose sum is σ = 172536. Its totient is φ = 31200.

The previous prime is 78497. The next prime is 78509. The reversal of 78500 is 587.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 70756 = 88^2 + 266^2 .

It is a sliding number, since 78500 = 16000 + 62500 and 1/16000 + 1/62500 = 0.000078500.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78500.

It is not an unprimeable number, because it can be changed into a prime (78509) 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, 422 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (7189).

2⁷⁸⁵⁰⁰ 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 78500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86268).

78500 is an abundant number, since it is smaller than the sum of its proper divisors (94036).

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

78500 is a wasteful number, since it uses less digits than its factorization.

78500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 78500 is about 280.1785145224. The cubic root of 78500 is about 42.8176885572.

The spelling of 78500 in words is "seventy-eight thousand, five hundred".