79929054782280 has 1536 divisors, whose sum is σ = 317474223206400. Its totient is φ = 17355976704000.

The previous prime is 79929054782257. The next prime is 79929054782293. The reversal of 79929054782280 is 8228745092997.

79929054782280 is a `hidden beast` number, since 7 + 9 + 9 + 290 + 54 + 7 + 8 + 2 + 280 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 79929054782199 and 79929054782208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15403553926 + ... + 15403559114.

It is an arithmetic number, because the mean of its divisors is an integer number (206688947400).

Almost surely, 2^{79929054782280} 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 79929054782280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158737111603200).

79929054782280 is an abundant number, since it is smaller than the sum of its proper divisors (237545168424120).

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

79929054782280 is a wasteful number, since it uses less digits than its factorization.

79929054782280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 79929054782280 in words is "seventy-nine trillion, nine hundred twenty-nine billion, fifty-four million, seven hundred eighty-two thousand, two hundred eighty".