387381760 has 60 divisors (see below), whose sum is σ = 931202118. Its totient is φ = 154554368.

The previous prime is 387381707. The next prime is 387381767. The reversal of 387381760 is 67183783.

It can be written as a sum of positive squares in 3 ways, for example, as 210598144 + 176783616 = 14512^2 + 13296^2 .

It is not an unprimeable number, because it can be changed into a prime (387381767) 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 5 ways as a sum of consecutive naturals, for example, 995646 + ... + 996034.

Almost surely, 2^387381760 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 387381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465601059).

387381760 is an abundant number, since it is smaller than the sum of its proper divisors (543820358).

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

387381760 is an frugal number, since it uses more digits than its factorization.

387381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 387381760 is about 19682.0161568880. The cubic root of 387381760 is about 728.9757073751.

The spelling of 387381760 in words is "three hundred eighty-seven million, three hundred eighty-one thousand, seven hundred sixty".