380021760 has 176 divisors, whose sum is σ = 1351020000. Its totient is φ = 101302272.

The previous prime is 380021731. The next prime is 380021767. The reversal of 380021760 is 67120083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380021767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136866 + ... + 139614.

It is an arithmetic number, because the mean of its divisors is an integer number (7676250).

Almost surely, 2^380021760 is an apocalyptic number.

380021760 is a gapful number since it is divisible by the number (30) 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 380021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675510000).

380021760 is an abundant number, since it is smaller than the sum of its proper divisors (970998240).

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

380021760 is a wasteful number, since it uses less digits than its factorization.

380021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 380021760 is about 19494.1468138516. The cubic root of 380021760 is about 724.3294696140.

The spelling of 380021760 in words is "three hundred eighty million, twenty-one thousand, seven hundred sixty".