78671480625200 has 120 divisors (see below), whose sum is σ = 190742369284416. Its totient is φ = 31181036832000.

The previous prime is 78671480625167. The next prime is 78671480625203. The reversal of 78671480625200 is 252608417687.

It is a super-2 number, since 2×78671480625200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78671480625203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19758515 + ... + 23403885.

Almost surely, 2^{78671480625200} 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 78671480625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95371184642208).

78671480625200 is an abundant number, since it is smaller than the sum of its proper divisors (112070888659216).

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

78671480625200 is a wasteful number, since it uses less digits than its factorization.

78671480625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645883 (or 3645872 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 78671480625200 in words is "seventy-eight trillion, six hundred seventy-one billion, four hundred eighty million, six hundred twenty-five thousand, two hundred".