79980380626176 has 1728 divisors, whose sum is σ = 270759921868800. Its totient is φ = 23415306190848.

The previous prime is 79980380626127. The next prime is 79980380626217. The reversal of 79980380626176 is 67162608308997.

79980380626176 is a `hidden beast` number, since 79 + 9 + 8 + 0 + 380 + 6 + 2 + 6 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×79980380626176² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205605091390 + ... + 205605091778.

It is an arithmetic number, because the mean of its divisors is an integer number (156689769600).

Almost surely, 2^{79980380626176} 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 79980380626176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135379960934400).

79980380626176 is an abundant number, since it is smaller than the sum of its proper divisors (190779541242624).

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

79980380626176 is a wasteful number, since it uses less digits than its factorization.

79980380626176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 79980380626176 in words is "seventy-nine trillion, nine hundred eighty billion, three hundred eighty million, six hundred twenty-six thousand, one hundred seventy-six".