78516 has 24 divisors (see below), whose sum is σ = 203840. Its totient is φ = 26136.

The previous prime is 78511. The next prime is 78517. The reversal of 78516 is 61587.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 78516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78511) by changing a digit.

78516 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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 471.

2⁷⁸⁵¹⁶ is an apocalyptic number.

It is an amenable number.

78516 is an abundant number, since it is smaller than the sum of its proper divisors (125324).

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 (101920).

78516 is a wasteful number, since it uses less digits than its factorization.

78516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 78516 is about 280.2070662921. The cubic root of 78516 is about 42.8205974170.

The spelling of 78516 in words is "seventy-eight thousand, five hundred sixteen".