78096484800 has 336 divisors, whose sum is σ = 287640999520. Its totient is φ = 20609925120.

The previous prime is 78096484799. The next prime is 78096484847. The reversal of 78096484800 is 848469087.

78096484800 is a `hidden beast` number, since 7 + 80 + 9 + 6 + 484 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 4181082 + ... + 4199718.

Almost surely, 2^78096484800 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 78096484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143820499760).

78096484800 is an abundant number, since it is smaller than the sum of its proper divisors (209544514720).

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

78096484800 is a wasteful number, since it uses less digits than its factorization.

78096484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18765 (or 18744 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 78096484800 in words is "seventy-eight billion, ninety-six million, four hundred eighty-four thousand, eight hundred".