8153272800 has 216 divisors, whose sum is σ = 29678725440. Its totient is φ = 2104012800.

The previous prime is 8153272753. The next prime is 8153272807. The reversal of 8153272800 is 82723518.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8153272807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 204936 + ... + 241464.

Almost surely, 2^8153272800 is an apocalyptic number.

8153272800 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 8153272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839362720).

8153272800 is an abundant number, since it is smaller than the sum of its proper divisors (21525452640).

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

8153272800 is a wasteful number, since it uses less digits than its factorization.

8153272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36586 (or 36570 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8153272800 is about 90295.4749696794. The cubic root of 8153272800 is about 2012.6920192797.

The spelling of 8153272800 in words is "eight billion, one hundred fifty-three million, two hundred seventy-two thousand, eight hundred".