78914731210200 has 768 divisors, whose sum is σ = 291382272960000. Its totient is φ = 19571221555200.

The previous prime is 78914731210199. The next prime is 78914731210241. The reversal of 78914731210200 is 201213741987.

78914731210200 is a `hidden beast` number, since 7 + 8 + 91 + 47 + 312 + 1 + 0 + 200 = 666.

78914731210200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78914731210200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3273235746 + ... + 3273259854.

It is an arithmetic number, because the mean of its divisors is an integer number (379404001250).

Almost surely, 2^{78914731210200} 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 78914731210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145691136480000).

78914731210200 is an abundant number, since it is smaller than the sum of its proper divisors (212467541749800).

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

78914731210200 is a wasteful number, since it uses less digits than its factorization.

78914731210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737 (or 24722 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 78914731210200 in words is "seventy-eight trillion, nine hundred fourteen billion, seven hundred thirty-one million, two hundred ten thousand, two hundred".