79731072000 has 528 divisors, whose sum is σ = 291887330592. Its totient is φ = 20924006400.

The previous prime is 79731071999. The next prime is 79731072079. The reversal of 79731072000 is 27013797.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77183484 + ... + 77184516.

It is an arithmetic number, because the mean of its divisors is an integer number (552816914).

Almost surely, 2^79731072000 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 79731072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145943665296).

79731072000 is an abundant number, since it is smaller than the sum of its proper divisors (212156258592).

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

79731072000 is a wasteful number, since it uses less digits than its factorization.

79731072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

Adding to 79731072000 its reverse (27013797), we get a palindrome (79758085797).

The spelling of 79731072000 in words is "seventy-nine billion, seven hundred thirty-one million, seventy-two thousand".