8545820800 has 96 divisors (see below), whose sum is σ = 23030110800. Its totient is φ = 3107558400.

The previous prime is 8545820791. The next prime is 8545820827. The reversal of 8545820800 is 80285458.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86190 + ... + 156589.

Almost surely, 2^8545820800 is an apocalyptic number.

8545820800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8545820800 is an abundant number, since it is smaller than the sum of its proper divisors (14484290000).

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

8545820800 is a wasteful number, since it uses less digits than its factorization.

8545820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242814 (or 242797 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 8545820800 is about 92443.6087569065. The cubic root of 8545820800 is about 2044.4881321617.

It can be divided in two parts, 8 and 545820800, that multiplied together give a square (4366566400 = 66080²).

The spelling of 8545820800 in words is "eight billion, five hundred forty-five million, eight hundred twenty thousand, eight hundred".