78520 has 32 divisors (see below), whose sum is σ = 191520. Its totient is φ = 28800.

The previous prime is 78517. The next prime is 78539. The reversal of 78520 is 2587.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78491 and 78500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁷⁸⁵²⁰ 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 78520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

78520 is an abundant number, since it is smaller than the sum of its proper divisors (113000).

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

78520 is a wasteful number, since it uses less digits than its factorization.

78520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 78520 is about 280.2142037799. The cubic root of 78520 is about 42.8213245702.

The spelling of 78520 in words is "seventy-eight thousand, five hundred twenty".