78760 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 28480.

The previous prime is 78737. The next prime is 78779. The reversal of 78760 is 6787.

78760 is nontrivially palindromic in base 9.

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, 351 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷⁸⁷⁶⁰ 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 78760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

78760 is an abundant number, since it is smaller than the sum of its proper divisors (115640).

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

78760 is a wasteful number, since it uses less digits than its factorization.

78760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 78760 is about 280.6421208586. The cubic root of 78760 is about 42.8649086457.

It can be divided in two parts, 78 and 760, that added together give a palindrome (838).

The spelling of 78760 in words is "seventy-eight thousand, seven hundred sixty".