82800900 has 288 divisors, whose sum is σ = 328590080. Its totient is φ = 17418240.

The previous prime is 82800899. The next prime is 82800901. The reversal of 82800900 is 900828.

It is an interprime number because it is at equal distance from previous prime (82800899) and next prime (82800901).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82800901) 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 95 ways as a sum of consecutive naturals, for example, 245532 + ... + 245868.

Almost surely, 2^82800900 is an apocalyptic number.

It is a pronic number, being equal to 9099×9100.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164295040).

82800900 is an abundant number, since it is smaller than the sum of its proper divisors (245789180).

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

82800900 is a wasteful number, since it uses less digits than its factorization.

82800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82800900 is about 9099.4999862630. The cubic root of 82800900 is about 435.8579974108.

The spelling of 82800900 in words is "eighty-two million, eight hundred thousand, nine hundred".