8538680800 has 72 divisors (see below), whose sum is σ = 22448547576. Its totient is φ = 3152739840.

The previous prime is 8538680791. The next prime is 8538680803. The reversal of 8538680800 is 80868358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8538680803) 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, 400114 + ... + 420913.

It is an arithmetic number, because the mean of its divisors is an integer number (311785383).

Almost surely, 2^8538680800 is an apocalyptic number.

8538680800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8538680800 is an abundant number, since it is smaller than the sum of its proper divisors (13909866776).

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

8538680800 is a wasteful number, since it uses less digits than its factorization.

8538680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821060 (or 821047 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 8538680800 is about 92404.9825496439. The cubic root of 8538680800 is about 2043.9185862235.

The spelling of 8538680800 in words is "eight billion, five hundred thirty-eight million, six hundred eighty thousand, eight hundred".