79800132680464 has 315 divisors, whose sum is σ = 192117763808437. Its totient is φ = 32104246282752.

The previous prime is 79800132680459. The next prime is 79800132680473. The reversal of 79800132680464 is 46408623100897.

It is a happy number.

The square root of 79800132680464 is 8933092.

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

It can be written as a sum of positive squares in only one way, i.e., 62128130979600 + 17672001700864 = 7882140^2 + 4203808^2 .

It is a super-2 number, since 2×79800132680464² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 79800132680399 and 79800132680408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 208355437617 + ... + 208355437999.

Almost surely, 2^{79800132680464} is an apocalyptic number.

79800132680464 is the 8933092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79800132680464

79800132680464 is an abundant number, since it is smaller than the sum of its proper divisors (112317631127973).

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

79800132680464 is an frugal number, since it uses more digits than its factorization.

79800132680464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 79800132680464 in words is "seventy-nine trillion, eight hundred billion, one hundred thirty-two million, six hundred eighty thousand, four hundred sixty-four".