1300800 has 84 divisors (see below), whose sum is σ = 4283456. Its totient is φ = 345600.

The previous prime is 1300781. The next prime is 1300813. The reversal of 1300800 is 80031.

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

It is a congruent number.

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, 4665 + ... + 4935.

2^1300800 is an apocalyptic number.

1300800 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 1300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141728).

1300800 is an abundant number, since it is smaller than the sum of its proper divisors (2982656).

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

1300800 is a wasteful number, since it uses less digits than its factorization.

1300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1300800 is about 1140.5261943507. The cubic root of 1300800 is about 109.1616712617.

Adding to 1300800 its reverse (80031), we get a palindrome (1380831).

The spelling of 1300800 in words is "one million, three hundred thousand, eight hundred".