79724078280 has 1280 divisors, whose sum is σ = 357122304000. Its totient is φ = 15581237760.

The previous prime is 79724078251. The next prime is 79724078293. The reversal of 79724078280 is 8287042797.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 573554451 + ... + 573554589.

It is an arithmetic number, because the mean of its divisors is an integer number (279001800).

Almost surely, 2^79724078280 is an apocalyptic number.

79724078280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79724078280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561152000).

79724078280 is an abundant number, since it is smaller than the sum of its proper divisors (277398225720).

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

79724078280 is a wasteful number, since it uses less digits than its factorization.

79724078280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 79724078280 in words is "seventy-nine billion, seven hundred twenty-four million, seventy-eight thousand, two hundred eighty".