79591334400 has 1920 divisors, whose sum is σ = 350720409600. Its totient is φ = 17517772800.

The previous prime is 79591334393. The next prime is 79591334401. The reversal of 79591334400 is 443319597.

79591334400 is a `hidden beast` number, since 7 + 95 + 91 + 33 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79591334401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2567462385 + ... + 2567462415.

It is an arithmetic number, because the mean of its divisors is an integer number (182666880).

Almost surely, 2^79591334400 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 79591334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175360204800).

79591334400 is an abundant number, since it is smaller than the sum of its proper divisors (271129075200).

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

79591334400 is a wasteful number, since it uses less digits than its factorization.

79591334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 79591334400 in words is "seventy-nine billion, five hundred ninety-one million, three hundred thirty-four thousand, four hundred".