1300807320 has 128 divisors (see below), whose sum is σ = 4096396800. Its totient is φ = 329821184.

The previous prime is 1300807303. The next prime is 1300807327. The reversal of 1300807320 is 237080031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300807327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492724 + ... + 495356.

It is an arithmetic number, because the mean of its divisors is an integer number (32003100).

Almost surely, 2^1300807320 is an apocalyptic number.

1300807320 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 1300807320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048198400).

1300807320 is an abundant number, since it is smaller than the sum of its proper divisors (2795589480).

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

1300807320 is a wasteful number, since it uses less digits than its factorization.

1300807320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1300807320 is about 36066.7065310932. The cubic root of 1300807320 is about 1091.6187602335.

Adding to 1300807320 its reverse (237080031), we get a palindrome (1537887351).

The spelling of 1300807320 in words is "one billion, three hundred million, eight hundred seven thousand, three hundred twenty".