107880 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 26880.

The previous prime is 107873. The next prime is 107881. The reversal of 107880 is 88701.

107880 is a nontrivial binomial coefficient, being equal to C(465, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107881) by changing a digit.

107880 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 15 ways as a sum of consecutive naturals, for example, 3465 + ... + 3495.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2¹⁰⁷⁸⁸⁰ is an apocalyptic number.

107880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107880 is the 464-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

107880 is an abundant number, since it is smaller than the sum of its proper divisors (237720).

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

107880 is a wasteful number, since it uses less digits than its factorization.

107880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 107880 is about 328.4509095740. The cubic root of 107880 is about 47.6043872330.

The spelling of 107880 in words is "one hundred seven thousand, eight hundred eighty".