8100787200 has 528 divisors, whose sum is σ = 30020745216. Its totient is φ = 1909555200.

The previous prime is 8100787193. The next prime is 8100787207. The reversal of 8100787200 is 27870018.

It is an interprime number because it is at equal distance from previous prime (8100787193) and next prime (8100787207).

It is a tau number, because it is divible by the number of its divisors (528).

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 (8100787207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36326289 + ... + 36326511.

It is an arithmetic number, because the mean of its divisors is an integer number (56857472).

Almost surely, 2^8100787200 is an apocalyptic number.

8100787200 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 8100787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010372608).

8100787200 is an abundant number, since it is smaller than the sum of its proper divisors (21919958016).

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

8100787200 is a wasteful number, since it uses less digits than its factorization.

8100787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 8100787200 is about 90004.3732270827. The cubic root of 8100787200 is about 2008.3639071043.

The spelling of 8100787200 in words is "eight billion, one hundred million, seven hundred eighty-seven thousand, two hundred".