8540800 has 96 divisors (see below), whose sum is σ = 22481820. Its totient is φ = 3194880.

The previous prime is 8540773. The next prime is 8540801. The reversal of 8540800 is 80458.

It can be written as a sum of positive squares in 6 ways, for example, as 3415104 + 5125696 = 1848^2 + 2264^2 .

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 (8540801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54322 + ... + 54478.

Almost surely, 2^8540800 is an apocalyptic number.

8540800 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 8540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240910).

8540800 is an abundant number, since it is smaller than the sum of its proper divisors (13941020).

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

8540800 is a wasteful number, since it uses less digits than its factorization.

8540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8540800 is about 2922.4647132173. The cubic root of 8540800 is about 204.4087664409.

It can be divided in two parts, 8 and 540800, that multiplied together give a square (4326400 = 2080²).

The spelling of 8540800 in words is "eight million, five hundred forty thousand, eight hundred".