78084479424000 has 2560 divisors, whose sum is σ = 327215354019840. Its totient is φ = 16107700224000.

The previous prime is 78084479423981. The next prime is 78084479424053. The reversal of 78084479424000 is 42497448087.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 126555071692 + ... + 126555072308.

It is an arithmetic number, because the mean of its divisors is an integer number (127818497664).

Almost surely, 2^{78084479424000} is an apocalyptic number.

78084479424000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78084479424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163607677009920).

78084479424000 is an abundant number, since it is smaller than the sum of its proper divisors (249130874595840).

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

78084479424000 is a wasteful number, since it uses less digits than its factorization.

78084479424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 78084479424000 in words is "seventy-eight trillion, eighty-four billion, four hundred seventy-nine million, four hundred twenty-four thousand".