8216875200 has 336 divisors, whose sum is σ = 28855501344. Its totient is φ = 2039808000.

The previous prime is 8216875181. The next prime is 8216875213. The reversal of 8216875200 is 25786128.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8241102 + ... + 8242098.

Almost surely, 2^8216875200 is an apocalyptic number.

8216875200 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 8216875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427750672).

8216875200 is an abundant number, since it is smaller than the sum of its proper divisors (20638626144).

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

8216875200 is a wasteful number, since it uses less digits than its factorization.

8216875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 8216875200 is about 90646.9811962870. The cubic root of 8216875200 is about 2017.9120339438.

The spelling of 8216875200 in words is "eight billion, two hundred sixteen million, eight hundred seventy-five thousand, two hundred".