79086205440 has 1280 divisors, whose sum is σ = 326679091200. Its totient is φ = 17960140800.

The previous prime is 79086205439. The next prime is 79086205447. The reversal of 79086205440 is 4450268097.

It is a happy number.

79086205440 is a `hidden beast` number, since 7 + 9 + 0 + 86 + 20 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (79086205447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1340444131 + ... + 1340444189.

It is an arithmetic number, because the mean of its divisors is an integer number (255218040).

Almost surely, 2^79086205440 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 79086205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163339545600).

79086205440 is an abundant number, since it is smaller than the sum of its proper divisors (247592885760).

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

79086205440 is a wasteful number, since it uses less digits than its factorization.

79086205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 79086205440 in words is "seventy-nine billion, eighty-six million, two hundred five thousand, four hundred forty".