8120587200 has 672 divisors, whose sum is σ = 31430488320. Its totient is φ = 1813708800.

The previous prime is 8120587199. The next prime is 8120587201. The reversal of 8120587200 is 27850218.

It is an interprime number because it is at equal distance from previous prime (8120587199) and next prime (8120587201).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120587201) by changing a digit.

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, 74500746 + ... + 74500854.

It is an arithmetic number, because the mean of its divisors is an integer number (46771560).

Almost surely, 2^8120587200 is an apocalyptic number.

8120587200 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 8120587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715244160).

8120587200 is an abundant number, since it is smaller than the sum of its proper divisors (23309901120).

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

8120587200 is a wasteful number, since it uses less digits than its factorization.

8120587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 8120587200 is about 90114.3007518784. The cubic root of 8120587200 is about 2009.9988614137.

The spelling of 8120587200 in words is "eight billion, one hundred twenty million, five hundred eighty-seven thousand, two hundred".