1307842200 has 480 divisors, whose sum is σ = 5473459200. Its totient is φ = 282735360.

The previous prime is 1307842187. The next prime is 1307842241. The reversal of 1307842200 is 22487031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2154297 + ... + 2154903.

It is an arithmetic number, because the mean of its divisors is an integer number (11403040).

Almost surely, 2^1307842200 is an apocalyptic number.

1307842200 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 1307842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736729600).

1307842200 is an abundant number, since it is smaller than the sum of its proper divisors (4165617000).

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

1307842200 is a wasteful number, since it uses less digits than its factorization.

1307842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1307842200 is about 36164.1009842634. The cubic root of 1307842200 is about 1093.5830800510.

It can be divided in two parts, 13078 and 42200, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 1307842200 in words is "one billion, three hundred seven million, eight hundred forty-two thousand, two hundred".