79353832800 has 432 divisors, whose sum is σ = 285266741760. Its totient is φ = 19145702400.

The previous prime is 79353832793. The next prime is 79353832843. The reversal of 79353832800 is 823835397.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79353832800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76374681 + ... + 76375719.

It is an arithmetic number, because the mean of its divisors is an integer number (660339680).

Almost surely, 2^79353832800 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 79353832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142633370880).

79353832800 is an abundant number, since it is smaller than the sum of its proper divisors (205912908960).

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

79353832800 is a wasteful number, since it uses less digits than its factorization.

79353832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 79353832800 in words is "seventy-nine billion, three hundred fifty-three million, eight hundred thirty-two thousand, eight hundred".