1305412680 has 256 divisors, whose sum is σ = 4644864000. Its totient is φ = 289336320.

The previous prime is 1305412663. The next prime is 1305412681. The reversal of 1305412680 is 862145031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1305412681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2179021 + ... + 2179619.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^1305412680 is an apocalyptic number.

1305412680 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 1305412680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432000).

1305412680 is an abundant number, since it is smaller than the sum of its proper divisors (3339451320).

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

1305412680 is a wasteful number, since it uses less digits than its factorization.

1305412680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1305412680 is about 36130.4951529868. The cubic root of 1305412680 is about 1092.9054935005.

The spelling of 1305412680 in words is "one billion, three hundred five million, four hundred twelve thousand, six hundred eighty".