382000080 has 240 divisors, whose sum is σ = 1503278784. Its totient is φ = 79349760.

The previous prime is 382000057. The next prime is 382000103. The reversal of 382000080 is 80000283.

It is an interprime number because it is at equal distance from previous prime (382000057) and next prime (382000103).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×382000080² = 291848122240012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127884 + ... + 130836.

Almost surely, 2^382000080 is an apocalyptic number.

382000080 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 382000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751639392).

382000080 is an abundant number, since it is smaller than the sum of its proper divisors (1121278704).

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

382000080 is a wasteful number, since it uses less digits than its factorization.

382000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2981 counting only the distinct ones).

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

The square root of 382000080 is about 19544.8223322700. The cubic root of 382000080 is about 725.5842013427.

The spelling of 382000080 in words is "three hundred eighty-two million, eighty", and thus it is an aban number.