82800810 has 48 divisors (see below), whose sum is σ = 217437480. Its totient is φ = 21859200.

The previous prime is 82800797. The next prime is 82800821. The reversal of 82800810 is 1800828.

It can be written as a sum of positive squares in 4 ways, for example, as 70711281 + 12089529 = 8409^2 + 3477^2 .

It is a super-2 number, since 2×82800810² = 13711948273312200, which contains 22 as substring.

It is a Curzon 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, 4536 + ... + 13644.

Almost surely, 2^82800810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82800810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108718740).

82800810 is an abundant number, since it is smaller than the sum of its proper divisors (134636670).

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

82800810 is a wasteful number, since it uses less digits than its factorization.

82800810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 82800810 is about 9099.4950409350. The cubic root of 82800810 is about 435.8578394929.

The spelling of 82800810 in words is "eighty-two million, eight hundred thousand, eight hundred ten".