82800840 has 128 divisors (see below), whose sum is σ = 259407360. Its totient is φ = 21126144.

The previous prime is 82800821. The next prime is 82800847. The reversal of 82800840 is 4800828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82800798 and 82800807.

It is not an unprimeable number, because it can be changed into a prime (82800847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298782 + ... + 299058.

It is an arithmetic number, because the mean of its divisors is an integer number (2026620).

Almost surely, 2^82800840 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 82800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129703680).

82800840 is an abundant number, since it is smaller than the sum of its proper divisors (176606520).

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

82800840 is a wasteful number, since it uses less digits than its factorization.

82800840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 82800840 is about 9099.4966893779. The cubic root of 82800840 is about 435.8578921322.

The spelling of 82800840 in words is "eighty-two million, eight hundred thousand, eight hundred forty".