1305880704 has 320 divisors, whose sum is σ = 4265395200. Its totient is φ = 394813440.

The previous prime is 1305880679. The next prime is 1305880757. The reversal of 1305880704 is 4070885031.

1305880704 is a `hidden beast` number, since 1 + 3 + 0 + 588 + 0 + 70 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5463817 + ... + 5464055.

It is an arithmetic number, because the mean of its divisors is an integer number (13329360).

Almost surely, 2^1305880704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132697600).

1305880704 is an abundant number, since it is smaller than the sum of its proper divisors (2959514496).

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

1305880704 is a wasteful number, since it uses less digits than its factorization.

1305880704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1305880704 is about 36136.9714281648. The cubic root of 1305880704 is about 1093.0360894648.

The spelling of 1305880704 in words is "one billion, three hundred five million, eight hundred eighty thousand, seven hundred four".