1307400768 has 84 divisors (see below), whose sum is σ = 3762774288. Its totient is φ = 434016000.

The previous prime is 1307400719. The next prime is 1307400769. The reversal of 1307400768 is 8670047031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1307400769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140055 + ... + 149097.

It is an arithmetic number, because the mean of its divisors is an integer number (44794932).

Almost surely, 2^1307400768 is an apocalyptic number.

1307400768 is a gapful number since it is divisible by the number (18) 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 1307400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881387144).

1307400768 is an abundant number, since it is smaller than the sum of its proper divisors (2455373520).

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

1307400768 is a wasteful number, since it uses less digits than its factorization.

1307400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1307400768 is about 36157.9972896730. The cubic root of 1307400768 is about 1093.4600282819.

Adding to 1307400768 its reverse (8670047031), we get a palindrome (9977447799).

The spelling of 1307400768 in words is "one billion, three hundred seven million, four hundred thousand, seven hundred sixty-eight".