82027800 has 144 divisors (see below), whose sum is σ = 278070000. Its totient is φ = 21669120.

The previous prime is 82027793. The next prime is 82027811. The reversal of 82027800 is 872028.

It is a congruent number.

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, 358086 + ... + 358314.

Almost surely, 2^82027800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139035000).

82027800 is an abundant number, since it is smaller than the sum of its proper divisors (196042200).

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

82027800 is a wasteful number, since it uses less digits than its factorization.

82027800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82027800 is about 9056.9200062714. The cubic root of 82027800 is about 434.4972392025.

Adding to 82027800 its reverse (872028), we get a palindrome (82899828).

The spelling of 82027800 in words is "eighty-two million, twenty-seven thousand, eight hundred".