1307345760 has 288 divisors, whose sum is σ = 5321272320. Its totient is φ = 285778944.

The previous prime is 1307345707. The next prime is 1307345761. The reversal of 1307345760 is 675437031.

1307345760 is a `hidden beast` number, since 1 + 307 + 345 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307345761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229021 + ... + 234659.

It is an arithmetic number, because the mean of its divisors is an integer number (18476640).

Almost surely, 2^1307345760 is an apocalyptic number.

1307345760 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 1307345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660636160).

1307345760 is an abundant number, since it is smaller than the sum of its proper divisors (4013926560).

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

1307345760 is a wasteful number, since it uses less digits than its factorization.

1307345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1307345760 is about 36157.2366200737. The cubic root of 1307345760 is about 1093.4446925373. Note that the first 3 decimals are identical.

The spelling of 1307345760 in words is "one billion, three hundred seven million, three hundred forty-five thousand, seven hundred sixty".