380685760 has 224 divisors, whose sum is σ = 1182867840. Its totient is φ = 113246208.

The previous prime is 380685733. The next prime is 380685763. The reversal of 380685760 is 67586083.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380685763) 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 31 ways as a sum of consecutive naturals, for example, 494656 + ... + 495424.

It is an arithmetic number, because the mean of its divisors is an integer number (5280660).

Almost surely, 2^380685760 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 380685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591433920).

380685760 is an abundant number, since it is smaller than the sum of its proper divisors (802182080).

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

380685760 is a wasteful number, since it uses less digits than its factorization.

380685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 380685760 is about 19511.1701340540. The cubic root of 380685760 is about 724.7510901377.

The spelling of 380685760 in words is "three hundred eighty million, six hundred eighty-five thousand, seven hundred sixty".