1305708880 has 240 divisors, whose sum is σ = 3806542080. Its totient is φ = 413973504.

The previous prime is 1305708853. The next prime is 1305708907. The reversal of 1305708880 is 888075031.

It is an interprime number because it is at equal distance from previous prime (1305708853) and next prime (1305708907).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3500374 + ... + 3500746.

It is an arithmetic number, because the mean of its divisors is an integer number (15860592).

Almost surely, 2^1305708880 is an apocalyptic number.

1305708880 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 1305708880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903271040).

1305708880 is an abundant number, since it is smaller than the sum of its proper divisors (2500833200).

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

1305708880 is a wasteful number, since it uses less digits than its factorization.

1305708880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1305708880 is about 36134.5939509496. The cubic root of 1305708880 is about 1092.9881478547.

The spelling of 1305708880 in words is "one billion, three hundred five million, seven hundred eight thousand, eight hundred eighty".