8326540800 has 360 divisors, whose sum is σ = 30913578696. Its totient is φ = 2219581440.

The previous prime is 8326540711. The next prime is 8326540861. The reversal of 8326540800 is 80456238.

8326540800 is a `hidden beast` number, since 8 + 32 + 6 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3109062 + ... + 3111738.

Almost surely, 2^8326540800 is an apocalyptic number.

8326540800 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 8326540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456789348).

8326540800 is an abundant number, since it is smaller than the sum of its proper divisors (22587037896).

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

8326540800 is an equidigital number, since it uses as much as digits as its factorization.

8326540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8326540800 is about 91249.8810958129. The cubic root of 8326540800 is about 2026.8496679934.

The spelling of 8326540800 in words is "eight billion, three hundred twenty-six million, five hundred forty thousand, eight hundred".