30382080 has 192 divisors, whose sum is σ = 103783680. Its totient is φ = 7569408.

The previous prime is 30382073. The next prime is 30382097. The reversal of 30382080 is 8028303.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30382080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706539 + ... + 706581.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^30382080 is an apocalyptic number.

30382080 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 30382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

30382080 is an abundant number, since it is smaller than the sum of its proper divisors (73401600).

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

30382080 is a wasteful number, since it uses less digits than its factorization.

30382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30382080 is about 5511.9941944817. The cubic root of 30382080 is about 312.0368135391.

The spelling of 30382080 in words is "thirty million, three hundred eighty-two thousand, eighty".