8382000 has 160 divisors (see below), whose sum is σ = 29712384. Its totient is φ = 2016000.

The previous prime is 8381993. The next prime is 8382007. The reversal of 8382000 is 2838.

8382000 = T₁₂₂₉ + T₁₂₃₀ + ... + T₁₂₃₉.

It is an interprime number because it is at equal distance from previous prime (8381993) and next prime (8382007).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (8382007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65937 + ... + 66063.

Almost surely, 2^8382000 is an apocalyptic number.

8382000 is a gapful number since it is divisible by the number (80) 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 8382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192).

8382000 is an abundant number, since it is smaller than the sum of its proper divisors (21330384).

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

8382000 is a wasteful number, since it uses less digits than its factorization.

8382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

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

The square root of 8382000 is about 2895.1683888852. The cubic root of 8382000 is about 203.1339680459.

Adding to 8382000 its reverse (2838), we get a palindrome (8384838).

The spelling of 8382000 in words is "eight million, three hundred eighty-two thousand".