10880800 has 144 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3548160.

The previous prime is 10880789. The next prime is 10880803. The reversal of 10880800 is 808801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162367 + ... + 162433.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^10880800 is an apocalyptic number.

10880800 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 10880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

10880800 is an abundant number, since it is smaller than the sum of its proper divisors (20992160).

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

10880800 is a wasteful number, since it uses less digits than its factorization.

10880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

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

The square root of 10880800 is about 3298.6057660775. The cubic root of 10880800 is about 221.5917611746.

It can be divided in two parts, 108 and 80800, that added together give a palindrome (80908).

The spelling of 10880800 in words is "ten million, eight hundred eighty thousand, eight hundred".