76860 has 72 divisors (see below), whose sum is σ = 270816. Its totient is φ = 17280.

The previous prime is 76847. The next prime is 76871. The reversal of 76860 is 6867.

76860 = T₄₈ + T₄₉ + ... + T₈₂.

It is a congruent number.

It is an unprimeable number.

76860 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 23 ways as a sum of consecutive naturals, for example, 1230 + ... + 1290.

2⁷⁶⁸⁶⁰ is an apocalyptic number.

76860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

76860 is an abundant number, since it is smaller than the sum of its proper divisors (193956).

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

76860 is a wasteful number, since it uses less digits than its factorization.

76860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76860 is about 277.2363612516. The cubic root of 76860 is about 42.5174092460.

It can be divided in two parts, 768 and 60, that added together give a palindrome (828).

The spelling of 76860 in words is "seventy-six thousand, eight hundred sixty".