76980 has 24 divisors (see below), whose sum is σ = 215712. Its totient is φ = 20512.

The previous prime is 76963. The next prime is 76991. The reversal of 76980 is 8967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

76980 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, 582 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (8988).

2⁷⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

76980 is an abundant number, since it is smaller than the sum of its proper divisors (138732).

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 (107856).

76980 is a wasteful number, since it uses less digits than its factorization.

76980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 76980 is about 277.4526986713. The cubic root of 76980 is about 42.5395249375.

The spelling of 76980 in words is "seventy-six thousand, nine hundred eighty".