78907118400 has 504 divisors, whose sum is σ = 323958533184. Its totient is φ = 18003148800.

The previous prime is 78907118399. The next prime is 78907118443. The reversal of 78907118400 is 481170987.

It is a super-4 number, since 4×78907118400⁴ (a number of 45 digits) contains 4444 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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2678149 + ... + 2707451.

Almost surely, 2^78907118400 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 78907118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161979266592).

78907118400 is an abundant number, since it is smaller than the sum of its proper divisors (245051414784).

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

78907118400 is a wasteful number, since it uses less digits than its factorization.

78907118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29359 (or 29341 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 78907118400 in words is "seventy-eight billion, nine hundred seven million, one hundred eighteen thousand, four hundred".