10780 has 36 divisors (see below), whose sum is σ = 28728. Its totient is φ = 3360.

The previous prime is 10771. The next prime is 10781. The reversal of 10780 is 8701.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 5, base 7 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2¹⁰⁷⁸⁰ is an apocalyptic number.

10780 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 10780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

10780 is an abundant number, since it is smaller than the sum of its proper divisors (17948).

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

10780 is a wasteful number, since it uses less digits than its factorization.

10780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10780 is about 103.8267788193. The cubic root of 10780 is about 22.0905359995.

The spelling of 10780 in words is "ten thousand, seven hundred eighty".