82492800 has 192 divisors, whose sum is σ = 293054160. Its totient is φ = 20275200.

The previous prime is 82492793. The next prime is 82492811. The reversal of 82492800 is 829428.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124470 + ... + 125130.

Almost surely, 2^82492800 is an apocalyptic number.

82492800 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 82492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146527080).

82492800 is an abundant number, since it is smaller than the sum of its proper divisors (210561360).

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

82492800 is a wasteful number, since it uses less digits than its factorization.

82492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82492800 is about 9082.5547066891. The cubic root of 82492800 is about 435.3167200627.

The spelling of 82492800 in words is "eighty-two million, four hundred ninety-two thousand, eight hundred".