1305920880 has 480 divisors, whose sum is σ = 5147670528. Its totient is φ = 304819200.

The previous prime is 1305920867. The next prime is 1305920923. The reversal of 1305920880 is 880295031.

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 95 ways as a sum of consecutive naturals, for example, 6628942 + ... + 6629138.

Almost surely, 2^1305920880 is an apocalyptic number.

1305920880 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 1305920880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573835264).

1305920880 is an abundant number, since it is smaller than the sum of its proper divisors (3841749648).

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

1305920880 is a wasteful number, since it uses less digits than its factorization.

1305920880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1305920880 is about 36137.5273088793. The cubic root of 1305920880 is about 1093.0472985968.

The spelling of 1305920880 in words is "one billion, three hundred five million, nine hundred twenty thousand, eight hundred eighty".