1080800 has 72 divisors (see below), whose sum is σ = 3031056. Its totient is φ = 368640.

The previous prime is 1080797. The next prime is 1080803. The reversal of 1080800 is 80801.

It is a happy number.

1080800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1080797) and next prime (1080803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080803) 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, 5504 + ... + 5696.

It is an arithmetic number, because the mean of its divisors is an integer number (42098).

2^1080800 is an apocalyptic number.

1080800 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 1080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515528).

1080800 is an abundant number, since it is smaller than the sum of its proper divisors (1950256).

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

1080800 is a wasteful number, since it uses less digits than its factorization.

1080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

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

The square root of 1080800 is about 1039.6153134694. The cubic root of 1080800 is about 102.6238835251.

Subtracting from 1080800 its reverse (80801), we obtain a palindrome (999999).

The spelling of 1080800 in words is "one million, eighty thousand, eight hundred".