1200800 has 72 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 449280.

The previous prime is 1200799. The next prime is 1200809. The reversal of 1200800 is 80021.

It is not an unprimeable number, because it can be changed into a prime (1200809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15161 + ... + 15239.

It is an arithmetic number, because the mean of its divisors is an integer number (43400).

2^1200800 is an apocalyptic number.

1200800 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 1200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1200800 is an abundant number, since it is smaller than the sum of its proper divisors (1924000).

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

1200800 is a wasteful number, since it uses less digits than its factorization.

1200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1200800 is about 1095.8102025442. The cubic root of 1200800 is about 106.2894663074.

Adding to 1200800 its reverse (80021), we get a palindrome (1280821).

The spelling of 1200800 in words is "one million, two hundred thousand, eight hundred".