79970417280 has 768 divisors, whose sum is σ = 313942487040. Its totient is φ = 18619269120.

The previous prime is 79970417279. The next prime is 79970417299. The reversal of 79970417280 is 8271407997.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109099794 + ... + 109100526.

It is an arithmetic number, because the mean of its divisors is an integer number (408779280).

Almost surely, 2^79970417280 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 79970417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156971243520).

79970417280 is an abundant number, since it is smaller than the sum of its proper divisors (233972069760).

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

79970417280 is a wasteful number, since it uses less digits than its factorization.

79970417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 79970417280 in words is "seventy-nine billion, nine hundred seventy million, four hundred seventeen thousand, two hundred eighty".