79077000600 has 768 divisors, whose sum is σ = 312355008000. Its totient is φ = 18226944000.

The previous prime is 79077000593. The next prime is 79077000617. The reversal of 79077000600 is 600077097.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134713507 + ... + 134714093.

It is an arithmetic number, because the mean of its divisors is an integer number (406712250).

Almost surely, 2^79077000600 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 79077000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156177504000).

79077000600 is an abundant number, since it is smaller than the sum of its proper divisors (233278007400).

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

79077000600 is a wasteful number, since it uses less digits than its factorization.

79077000600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

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

Adding to 79077000600 its reverse (600077097), we get a palindrome (79677077697).

The spelling of 79077000600 in words is "seventy-nine billion, seventy-seven million, six hundred", and thus it is an aban number.