1307920320 has 168 divisors, whose sum is σ = 5141451744. Its totient is φ = 298948608.

The previous prime is 1307920297. The next prime is 1307920331. The reversal of 1307920320 is 230297031.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12279 + ... + 52598.

Almost surely, 2^1307920320 is an apocalyptic number.

1307920320 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 1307920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570725872).

1307920320 is an abundant number, since it is smaller than the sum of its proper divisors (3833531424).

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

1307920320 is a wasteful number, since it uses less digits than its factorization.

1307920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64907 (or 64894 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1307920320 is about 36165.1810447563. The cubic root of 1307920320 is about 1093.6048535772.

The spelling of 1307920320 in words is "one billion, three hundred seven million, nine hundred twenty thousand, three hundred twenty".