1300867200 has 288 divisors, whose sum is σ = 4916688660. Its totient is φ = 326369280.

The previous prime is 1300867177. The next prime is 1300867207. The reversal of 1300867200 is 27680031.

It can be written as a sum of positive squares in 6 ways, for example, as 757790784 + 543076416 = 27528^2 + 23304^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300867207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488272 + ... + 490928.

Almost surely, 2^1300867200 is an apocalyptic number.

1300867200 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 1300867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458344330).

1300867200 is an abundant number, since it is smaller than the sum of its proper divisors (3615821460).

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

1300867200 is a wasteful number, since it uses less digits than its factorization.

1300867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1300867200 is about 36067.5366500126. The cubic root of 1300867200 is about 1091.6355101209.

It can be divided in two parts, 13008 and 67200, that added together give a palindrome (80208).

The spelling of 1300867200 in words is "one billion, three hundred million, eight hundred sixty-seven thousand, two hundred".