1312800 has 72 divisors (see below), whose sum is σ = 4280976. Its totient is φ = 349440.

The previous prime is 1312789. The next prime is 1312813. The reversal of 1312800 is 82131.

It is a happy number.

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 1312800.

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, 2127 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (59458).

2^1312800 is an apocalyptic number.

1312800 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 1312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140488).

1312800 is an abundant number, since it is smaller than the sum of its proper divisors (2968176).

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

1312800 is a wasteful number, since it uses less digits than its factorization.

1312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1312800 is about 1145.7748469922. The cubic root of 1312800 is about 109.4963198029.

Adding to 1312800 its reverse (82131), we get a palindrome (1394931).

It can be divided in two parts, 1312 and 800, that added together give a palindrome (2112).

The spelling of 1312800 in words is "one million, three hundred twelve thousand, eight hundred".