76880 has 30 divisors (see below), whose sum is σ = 184698. Its totient is φ = 29760.

The previous prime is 76873. The next prime is 76883. The reversal of 76880 is 8867.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 15376 = 248^2 + 124^2 .

76880 is a Rhonda number in base 6.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76883) by changing a digit.

76880 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 5 ways as a sum of consecutive naturals, for example, 2465 + ... + 2495.

2⁷⁶⁸⁸⁰ 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 76880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92349).

76880 is an abundant number, since it is smaller than the sum of its proper divisors (107818).

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

76880 is a wasteful number, since it uses less digits than its factorization.

76880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 76880 is about 277.2724292100. The cubic root of 76880 is about 42.5210967924.

It can be divided in two parts, 768 and 80, that added together give a palindrome (848).

The spelling of 76880 in words is "seventy-six thousand, eight hundred eighty".