1307280 has 80 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 321024.

The previous prime is 1307261. The next prime is 1307281. The reversal of 1307280 is 827031.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1307281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^1307280 is an apocalyptic number.

1307280 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 1307280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

1307280 is an abundant number, since it is smaller than the sum of its proper divisors (3067440).

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

1307280 is a wasteful number, since it uses less digits than its factorization.

1307280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1307280 is about 1143.3634592727. The cubic root of 1307280 is about 109.3426358666.

Subtracting from 1307280 its reverse (827031), we obtain a square (480249 = 693²).

The spelling of 1307280 in words is "one million, three hundred seven thousand, two hundred eighty".