78127539200 has 264 divisors, whose sum is σ = 211704735744. Its totient is φ = 28459008000.

The previous prime is 78127539197. The next prime is 78127539239. The reversal of 78127539200 is 293572187.

It is a super-2 number, since 2×78127539200² (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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13488305 + ... + 13494095.

Almost surely, 2^78127539200 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 78127539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105852367872).

78127539200 is an abundant number, since it is smaller than the sum of its proper divisors (133577196544).

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

78127539200 is a wasteful number, since it uses less digits than its factorization.

78127539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 78127539200 in words is "seventy-eight billion, one hundred twenty-seven million, five hundred thirty-nine thousand, two hundred".