7880 has 16 divisors (see below), whose sum is σ = 17820. Its totient is φ = 3136.

The previous prime is 7879. The next prime is 7883. The reversal of 7880 is 887.

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 484 = 86^2 + 22^2 .

7880 is an undulating number in base 14.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (7883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 138.

It is an amenable number.

7880 is an abundant number, since it is smaller than the sum of its proper divisors (9940).

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 (8910).

7880 is a wasteful number, since it uses less digits than its factorization.

7880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 7880 is about 88.7693640847. The cubic root of 7880 is about 19.8994957912.

The spelling of 7880 in words is "seven thousand, eight hundred eighty".