1204800 has 84 divisors (see below), whose sum is σ = 3968496. Its totient is φ = 320000.

The previous prime is 1204787. The next prime is 1204813. The reversal of 1204800 is 84021.

It is an interprime number because it is at equal distance from previous prime (1204787) and next prime (1204813).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1204800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4675 + ... + 4925.

It is an arithmetic number, because the mean of its divisors is an integer number (47244).

2^1204800 is an apocalyptic number.

1204800 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 1204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984248).

1204800 is an abundant number, since it is smaller than the sum of its proper divisors (2763696).

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

1204800 is a wasteful number, since it uses less digits than its factorization.

1204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1204800 is about 1097.6338187210. The cubic root of 1204800 is about 106.4073562291.

Adding to 1204800 its reverse (84021), we get a palindrome (1288821).

The spelling of 1204800 in words is "one million, two hundred four thousand, eight hundred".