8272492800 has 864 divisors, whose sum is σ = 33723841536. Its totient is φ = 1757184000.

The previous prime is 8272492799. The next prime is 8272492847. The reversal of 8272492800 is 82942728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63148735 + ... + 63148865.

It is an arithmetic number, because the mean of its divisors is an integer number (39032224).

Almost surely, 2^8272492800 is an apocalyptic number.

8272492800 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 8272492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861920768).

8272492800 is an abundant number, since it is smaller than the sum of its proper divisors (25451348736).

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

8272492800 is a wasteful number, since it uses less digits than its factorization.

8272492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8272492800 is about 90953.2451317709. The cubic root of 8272492800 is about 2022.4546834343.

The spelling of 8272492800 in words is "eight billion, two hundred seventy-two million, four hundred ninety-two thousand, eight hundred".