382080000 has 220 divisors, whose sum is σ = 1278965600. Its totient is φ = 101376000.

The previous prime is 382079963. The next prime is 382080001. The reversal of 382080000 is 80283.

It is a super-3 number, since 3×382080000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919901 + ... + 1920099.

It is an arithmetic number, because the mean of its divisors is an integer number (5813480).

Almost surely, 2^382080000 is an apocalyptic number.

382080000 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 382080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639482800).

382080000 is an abundant number, since it is smaller than the sum of its proper divisors (896885600).

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

382080000 is an equidigital number, since it uses as much as digits as its factorization.

382080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 382080000 is about 19546.8667565930. The cubic root of 382080000 is about 725.6347987543.

The spelling of 382080000 in words is "three hundred eighty-two million, eighty thousand".