79324978060800 has 1200 divisors, whose sum is σ = 308601107809632. Its totient is φ = 20085099724800.

The previous prime is 79324978060687. The next prime is 79324978060849. The reversal of 79324978060800 is 806087942397.

79324978060800 is a `hidden beast` number, since 7 + 9 + 3 + 2 + 497 + 8 + 0 + 60 + 80 + 0 = 666.

79324978060800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3266944660 + ... + 3266968940.

Almost surely, 2^{79324978060800} 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 79324978060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154300553904816).

79324978060800 is an abundant number, since it is smaller than the sum of its proper divisors (229276129748832).

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

79324978060800 is a wasteful number, since it uses less digits than its factorization.

79324978060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24481 (or 24451 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 79324978060800 in words is "seventy-nine trillion, three hundred twenty-four billion, nine hundred seventy-eight million, sixty thousand, eight hundred".