381807760 has 80 divisors (see below), whose sum is σ = 957836016. Its totient is φ = 141000704.

The previous prime is 381807757. The next prime is 381807761. The reversal of 381807760 is 67708183.

It can be written as a sum of positive squares in 8 ways, for example, as 47941776 + 333865984 = 6924^2 + 18272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (381807761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69432 + ... + 74728.

Almost surely, 2^381807760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381807760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478918008).

381807760 is an abundant number, since it is smaller than the sum of its proper divisors (576028256).

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

381807760 is a wasteful number, since it uses less digits than its factorization.

381807760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 381807760 is about 19539.9017397734. The cubic root of 381807760 is about 725.4624144761.

The spelling of 381807760 in words is "three hundred eighty-one million, eight hundred seven thousand, seven hundred sixty".