8720275200 has 1296 divisors, whose sum is σ = 38833514496. Its totient is φ = 1703116800.

The previous prime is 8720275183. The next prime is 8720275243. The reversal of 8720275200 is 25720278.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 281299185 + ... + 281299215.

Almost surely, 2^8720275200 is an apocalyptic number.

8720275200 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 8720275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416757248).

8720275200 is an abundant number, since it is smaller than the sum of its proper divisors (30113239296).

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

8720275200 is a wasteful number, since it uses less digits than its factorization.

8720275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 8720275200 is about 93382.4137619070. The cubic root of 8720275200 is about 2058.3065858209.

Adding to 8720275200 its reverse (25720278), we get a palindrome (8745995478).

The spelling of 8720275200 in words is "eight billion, seven hundred twenty million, two hundred seventy-five thousand, two hundred".