1307909680 has 160 divisors (see below), whose sum is σ = 3849039360. Its totient is φ = 401448960.

The previous prime is 1307909653. The next prime is 1307909731. The reversal of 1307909680 is 869097031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411136 + ... + 414304.

It is an arithmetic number, because the mean of its divisors is an integer number (24056496).

Almost surely, 2^1307909680 is an apocalyptic number.

1307909680 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 1307909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924519680).

1307909680 is an abundant number, since it is smaller than the sum of its proper divisors (2541129680).

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

1307909680 is a wasteful number, since it uses less digits than its factorization.

1307909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 1307909680 is about 36165.0339416404. The cubic root of 1307909680 is about 1093.6018880584.

The spelling of 1307909680 in words is "one billion, three hundred seven million, nine hundred nine thousand, six hundred eighty".