379982720 has 128 divisors (see below), whose sum is σ = 989604000. Its totient is φ = 138682368.

The previous prime is 379982683. The next prime is 379982723. The reversal of 379982720 is 27289973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379982723) 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, 906671 + ... + 907089.

Almost surely, 2^379982720 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 379982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494802000).

379982720 is an abundant number, since it is smaller than the sum of its proper divisors (609621280).

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

379982720 is a wasteful number, since it uses less digits than its factorization.

379982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 379982720 is about 19493.1454619310. The cubic root of 379982720 is about 724.3046650775.

The spelling of 379982720 in words is "three hundred seventy-nine million, nine hundred eighty-two thousand, seven hundred twenty".