1880 has 16 divisors (see below), whose sum is σ = 4320. Its totient is φ = 736.

The previous prime is 1879. The next prime is 1889. The reversal of 1880 is 881.

It is a happy number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 63.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

2¹⁸⁸⁰ is an apocalyptic number.

1880 is a gapful number since it is divisible by the number (10) 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 1880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160).

1880 is an abundant number, since it is smaller than the sum of its proper divisors (2440).

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

1880 is a wasteful number, since it uses less digits than its factorization.

1880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1880 is about 43.3589667774. The cubic root of 1880 is about 12.3420115856.

Subtracting from 1880 its reverse (881), we obtain a palindrome (999).

The spelling of 1880 in words is "one thousand, eight hundred eighty".