82000800 has 216 divisors, whose sum is σ = 330666336. Its totient is φ = 18731520.

The previous prime is 82000781. The next prime is 82000801. The reversal of 82000800 is 800028.

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 not an unprimeable number, because it can be changed into a prime (82000801) 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 35 ways as a sum of consecutive naturals, for example, 49587 + ... + 51213.

Almost surely, 2^82000800 is an apocalyptic number.

82000800 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 82000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165333168).

82000800 is an abundant number, since it is smaller than the sum of its proper divisors (248665536).

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

82000800 is a wasteful number, since it uses less digits than its factorization.

82000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1644 counting only the distinct ones).

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

The square root of 82000800 is about 9055.4293106401. The cubic root of 82000800 is about 434.4495614118.

Adding to 82000800 its reverse (800028), we get a palindrome (82800828).

The spelling of 82000800 in words is "eighty-two million, eight hundred", and thus it is an aban number.