1375080960 has 320 divisors, whose sum is σ = 4924934784. Its totient is φ = 324403200.

The previous prime is 1375080953. The next prime is 1375080979. The reversal of 1375080960 is 690805731.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3463482 + ... + 3463878.

Almost surely, 2^1375080960 is an apocalyptic number.

1375080960 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 1375080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462467392).

1375080960 is an abundant number, since it is smaller than the sum of its proper divisors (3549853824).

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

1375080960 is a wasteful number, since it uses less digits than its factorization.

1375080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1375080960 is about 37082.0840838268. The cubic root of 1375080960 is about 1112.0118695143.

The spelling of 1375080960 in words is "one billion, three hundred seventy-five million, eighty thousand, nine hundred sixty".