1120800 has 72 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 298240.

The previous prime is 1120799. The next prime is 1120807. The reversal of 1120800 is 80211.

It is a happy number.

1120800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1120807) 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, 2167 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2^1120800 is an apocalyptic number.

1120800 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 1120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1120800 is an abundant number, since it is smaller than the sum of its proper divisors (2535216).

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

1120800 is a wasteful number, since it uses less digits than its factorization.

1120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1120800 is about 1058.6784214293. The cubic root of 1120800 is about 103.8746023146.

The spelling of 1120800 in words is "one million, one hundred twenty thousand, eight hundred".