8240938200 has 288 divisors, whose sum is σ = 30765374640. Its totient is φ = 1959859200.

The previous prime is 8240938193. The next prime is 8240938201. The reversal of 8240938200 is 28390428.

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 (8240938201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1045474 + ... + 1053326.

Almost surely, 2^8240938200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8240938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382687320).

8240938200 is an abundant number, since it is smaller than the sum of its proper divisors (22524436440).

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

8240938200 is a wasteful number, since it uses less digits than its factorization.

8240938200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8240938200 is about 90779.6133501350. The cubic root of 8240938200 is about 2019.8799229345.

The spelling of 8240938200 in words is "eight billion, two hundred forty million, nine hundred thirty-eight thousand, two hundred".