79788398976 has 576 divisors, whose sum is σ = 280531314000. Its totient is φ = 22298664960.

The previous prime is 79788398971. The next prime is 79788398983. The reversal of 79788398976 is 67989388797.

79788398976 is a `hidden beast` number, since 79 + 78 + 8 + 398 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×79788398976² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79788398895 and 79788398904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79788398971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70671180 + ... + 70672308.

Almost surely, 2^79788398976 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 79788398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140265657000).

79788398976 is an abundant number, since it is smaller than the sum of its proper divisors (200742915024).

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

79788398976 is a wasteful number, since it uses less digits than its factorization.

79788398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1158 counting only the distinct ones).

The product of its digits is 2304433152, while the sum is 81.

The spelling of 79788398976 in words is "seventy-nine billion, seven hundred eighty-eight million, three hundred ninety-eight thousand, nine hundred seventy-six".