82665200 has 120 divisors (see below), whose sum is σ = 213342000. Its totient is φ = 30689280.

The previous prime is 82665199. The next prime is 82665211. The reversal of 82665200 is 256628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554726 + ... + 554874.

It is an arithmetic number, because the mean of its divisors is an integer number (1777850).

Almost surely, 2^82665200 is an apocalyptic number.

82665200 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 82665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106671000).

82665200 is an abundant number, since it is smaller than the sum of its proper divisors (130676800).

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

82665200 is a wasteful number, since it uses less digits than its factorization.

82665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 82665200 is about 9092.0404750529. The cubic root of 82665200 is about 435.6197621961.

The spelling of 82665200 in words is "eighty-two million, six hundred sixty-five thousand, two hundred".