78580 has 12 divisors (see below), whose sum is σ = 165060. Its totient is φ = 31424.

The previous prime is 78577. The next prime is 78583. The reversal of 78580 is 8587.

It is an interprime number because it is at equal distance from previous prime (78577) and next prime (78583).

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 59536 = 138^2 + 244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1945 + ... + 1984.

It is an arithmetic number, because the mean of its divisors is an integer number (13755).

2⁷⁸⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

78580 is an abundant number, since it is smaller than the sum of its proper divisors (86480).

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 (82530).

78580 is a wasteful number, since it uses less digits than its factorization.

78580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 78580 is about 280.3212442895. The cubic root of 78580 is about 42.8322289059.

The spelling of 78580 in words is "seventy-eight thousand, five hundred eighty".