8080100 has 108 divisors (see below), whose sum is σ = 21818916. Its totient is φ = 2580480.

The previous prime is 8080081. The next prime is 8080139. The reversal of 8080100 is 10808.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 8076964 = 56^2 + 2842^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 35 ways as a sum of consecutive naturals, for example, 83252 + ... + 83348.

It is an arithmetic number, because the mean of its divisors is an integer number (202027).

Almost surely, 2^8080100 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 8080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909458).

8080100 is an abundant number, since it is smaller than the sum of its proper divisors (13738816).

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

8080100 is a wasteful number, since it uses less digits than its factorization.

8080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8080100 is about 2842.5516705946. The cubic root of 8080100 is about 200.6652845287.

Adding to 8080100 its reverse (10808), we get a palindrome (8090908).

The spelling of 8080100 in words is "eight million, eighty thousand, one hundred".