78327120200 has 96 divisors (see below), whose sum is σ = 208868060160. Its totient is φ = 26759308800.

The previous prime is 78327120143. The next prime is 78327120217. The reversal of 78327120200 is 202172387.

It is a super-2 number, since 2×78327120200² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 293849 + ... + 492951.

It is an arithmetic number, because the mean of its divisors is an integer number (2175708960).

Almost surely, 2^78327120200 is an apocalyptic number.

78327120200 is a gapful number since it is divisible by the number (70) 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 78327120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104434030080).

78327120200 is an abundant number, since it is smaller than the sum of its proper divisors (130540939960).

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

78327120200 is a wasteful number, since it uses less digits than its factorization.

78327120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199407 (or 199398 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

Adding to 78327120200 its reverse (202172387), we get a palindrome (78529292587).

The spelling of 78327120200 in words is "seventy-eight billion, three hundred twenty-seven million, one hundred twenty thousand, two hundred".