1375276320 has 360 divisors, whose sum is σ = 5341009212. Its totient is φ = 333020160.

The previous prime is 1375276303. The next prime is 1375276333. The reversal of 1375276320 is 236725731.

1375276320 is a `hidden beast` number, since 13 + 7 + 5 + 2 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1356301584 + 18974736 = 36828^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1567722 + ... + 1568598.

Almost surely, 2^1375276320 is an apocalyptic number.

1375276320 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 1375276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670504606).

1375276320 is an abundant number, since it is smaller than the sum of its proper divisors (3965732892).

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

1375276320 is a wasteful number, since it uses less digits than its factorization.

1375276320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1375276320 is about 37084.7181464279. The cubic root of 1375276320 is about 1112.0645288020.

The spelling of 1375276320 in words is "one billion, three hundred seventy-five million, two hundred seventy-six thousand, three hundred twenty".