82008000 has 336 divisors, whose sum is σ = 315248544. Its totient is φ = 20275200.

The previous prime is 82007987. The next prime is 82008001. The reversal of 82008000 is 80028.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82008001) 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 47 ways as a sum of consecutive naturals, for example, 1223967 + ... + 1224033.

Almost surely, 2^82008000 is an apocalyptic number.

82008000 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 82008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157624272).

82008000 is an abundant number, since it is smaller than the sum of its proper divisors (233240544).

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

82008000 is a wasteful number, since it uses less digits than its factorization.

82008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82008000 is about 9055.8268534684. The cubic root of 82008000 is about 434.4622765125.

Adding to 82008000 its reverse (80028), we get a palindrome (82088028).

The spelling of 82008000 in words is "eighty-two million, eight thousand".