1307785680 has 120 divisors (see below), whose sum is σ = 4403709960. Its totient is φ = 347811840.

The previous prime is 1307785657. The next prime is 1307785691. The reversal of 1307785680 is 865877031.

1307785680 is a `hidden beast` number, since 13 + 0 + 7 + 78 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 309478464 + 998307216 = 17592^2 + 31596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292260 + ... + 296700.

It is an arithmetic number, because the mean of its divisors is an integer number (36697583).

Almost surely, 2^1307785680 is an apocalyptic number.

1307785680 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 1307785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201854980).

1307785680 is an abundant number, since it is smaller than the sum of its proper divisors (3095924280).

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

1307785680 is a wasteful number, since it uses less digits than its factorization.

1307785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1307785680 is about 36163.3195378964. The cubic root of 1307785680 is about 1093.5673263140.

The spelling of 1307785680 in words is "one billion, three hundred seven million, seven hundred eighty-five thousand, six hundred eighty".