10800880 has 40 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4263168.

The previous prime is 10800877. The next prime is 10800883. The reversal of 10800880 is 8800801.

It is a happy number.

10800880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10800877) and next prime (10800883).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5466 + ... + 7174.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 2^10800880 is an apocalyptic number.

10800880 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 10800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

10800880 is an abundant number, since it is smaller than the sum of its proper divisors (14643920).

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

10800880 is a wasteful number, since it uses less digits than its factorization.

10800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 10800880 is about 3286.4692300400. The cubic root of 10800880 is about 221.0478933623.

The spelling of 10800880 in words is "ten million, eight hundred thousand, eight hundred eighty".