8100810 has 80 divisors (see below), whose sum is σ = 22241736. Its totient is φ = 2115072.

The previous prime is 8100803. The next prime is 8100811. The reversal of 8100810 is 180018.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6953769 + 1147041 = 2637^2 + 1071^2 .

It is a super-2 number, since 2×8100810² = 131246245312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8100811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59062 + ... + 59198.

Almost surely, 2^8100810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11120868).

8100810 is an abundant number, since it is smaller than the sum of its proper divisors (14140926).

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

8100810 is a wasteful number, since it uses less digits than its factorization.

8100810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8100810 is about 2846.1921930889. The cubic root of 8100810 is about 200.8365791310.

Adding to 8100810 its reverse (180018), we get a palindrome (8280828).

8100810 divided by its reverse (180018) gives a triangular number (45 = T₉).

It can be divided in two parts, 81008 and 10, that added together give a palindrome (81018).

The spelling of 8100810 in words is "eight million, one hundred thousand, eight hundred ten".