79852776696 has 768 divisors, whose sum is σ = 296374464000. Its totient is φ = 19670999040.

The previous prime is 79852776683. The next prime is 79852776697. The reversal of 79852776696 is 69667725897.

79852776696 is a `hidden beast` number, since 7 + 9 + 8 + 527 + 7 + 6 + 6 + 96 = 666.

It is a super-2 number, since 2×79852776696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79852776697) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 226211656 + ... + 226212008.

It is an arithmetic number, because the mean of its divisors is an integer number (385904250).

Almost surely, 2^79852776696 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 79852776696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148187232000).

79852776696 is an abundant number, since it is smaller than the sum of its proper divisors (216521687304).

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

79852776696 is a wasteful number, since it uses less digits than its factorization.

79852776696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 79852776696 in words is "seventy-nine billion, eight hundred fifty-two million, seven hundred seventy-six thousand, six hundred ninety-six".