8081800 has 48 divisors (see below), whose sum is σ = 19903860. Its totient is φ = 3041280.

The previous prime is 8081789. The next prime is 8081803. The reversal of 8081800 is 81808.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3663396 + 4418404 = 1914^2 + 2102^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8081803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2212 + ... + 4588.

Almost surely, 2^8081800 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 8081800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9951930).

8081800 is an abundant number, since it is smaller than the sum of its proper divisors (11822060).

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

8081800 is a wasteful number, since it uses less digits than its factorization.

8081800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 8081800 is about 2842.8506819740. The cubic root of 8081800 is about 200.6793564281.

The spelling of 8081800 in words is "eight million, eighty-one thousand, eight hundred".