382375080 has 288 divisors, whose sum is σ = 1360419840. Its totient is φ = 96577920.

The previous prime is 382375079. The next prime is 382375087. The reversal of 382375080 is 80573283.

382375080 = T₇₉ + T₈₀ + ... + T₁₃₁₈.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382375087) 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 71 ways as a sum of consecutive naturals, for example, 8135617 + ... + 8135663.

It is an arithmetic number, because the mean of its divisors is an integer number (4723680).

Almost surely, 2^382375080 is an apocalyptic number.

382375080 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 382375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680209920).

382375080 is an abundant number, since it is smaller than the sum of its proper divisors (978044760).

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

382375080 is an equidigital number, since it uses as much as digits as its factorization.

382375080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 382375080 is about 19554.4133126003. The cubic root of 382375080 is about 725.8215530277.

The spelling of 382375080 in words is "three hundred eighty-two million, three hundred seventy-five thousand, eighty".