8160800 has 54 divisors (see below), whose sum is σ = 20121759. Its totient is φ = 3232000.

The previous prime is 8160773. The next prime is 8160827. The reversal of 8160800 is 80618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8160773) and next prime (8160827).

It can be written as a sum of positive squares in 5 ways, for example, as 7246864 + 913936 = 2692^2 + 956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2020.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80750 + ... + 80850.

Almost surely, 2^8160800 is an apocalyptic number.

8160800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8160800

8160800 is an abundant number, since it is smaller than the sum of its proper divisors (11960959).

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

8160800 is a wasteful number, since it uses less digits than its factorization.

8160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8160800 is about 2856.7113959937. The cubic root of 8160800 is about 201.3311209304.

The spelling of 8160800 in words is "eight million, one hundred sixty thousand, eight hundred".