79776872704 has 81 divisors (see below), whose sum is σ = 161668890747. Its totient is φ = 39289646592.

The previous prime is 79776872683. The next prime is 79776872719. The reversal of 79776872704 is 40727867797.

It is a happy number.

The square root of 79776872704 is 282448.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 573934267 + ... + 573934405.

Almost surely, 2^79776872704 is an apocalyptic number.

79776872704 is the 282448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79776872704

79776872704 is an abundant number, since it is smaller than the sum of its proper divisors (81892018043).

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

79776872704 is an frugal number, since it uses more digits than its factorization.

With its predecessor (79776872703) it forms an eRAP, since the sums of their prime factors are consecutive (547 and 548).

79776872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 64.

Multiplying 79776872704 by its sum of digits (64), we get a square (5105719853056 = 2259584²).

79776872704 divided by its sum of digits (64) gives a square (1246513636 = 35306²).

The spelling of 79776872704 in words is "seventy-nine billion, seven hundred seventy-six million, eight hundred seventy-two thousand, seven hundred four".