82180800 has 252 divisors, whose sum is σ = 315274960. Its totient is φ = 20183040.

The previous prime is 82180799. The next prime is 82180823. The reversal of 82180800 is 808128.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186981 + ... + 187419.

Almost surely, 2^82180800 is an apocalyptic number.

82180800 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 82180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157637480).

82180800 is an abundant number, since it is smaller than the sum of its proper divisors (233094160).

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

82180800 is a wasteful number, since it uses less digits than its factorization.

82180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 82180800 is about 9065.3626513229. The cubic root of 82180800 is about 434.7672159188.

Adding to 82180800 its reverse (808128), we get a palindrome (82988928).

The spelling of 82180800 in words is "eighty-two million, one hundred eighty thousand, eight hundred".