1381775760 has 560 divisors, whose sum is σ = 5367067200. Its totient is φ = 329204736.

The previous prime is 1381775743. The next prime is 1381775771. The reversal of 1381775760 is 675771831.

1381775760 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 77 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 32134299 + ... + 32134341.

Almost surely, 2^1381775760 is an apocalyptic number.

1381775760 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 1381775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683533600).

1381775760 is an abundant number, since it is smaller than the sum of its proper divisors (3985291440).

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

1381775760 is a wasteful number, since it uses less digits than its factorization.

1381775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 1381775760 is about 37172.2444842923. The cubic root of 1381775760 is about 1113.8136174252.

The spelling of 1381775760 in words is "one billion, three hundred eighty-one million, seven hundred seventy-five thousand, seven hundred sixty".