7980742224 has 240 divisors, whose sum is σ = 27560041600. Its totient is φ = 2099395584.

The previous prime is 7980742223. The next prime is 7980742247. The reversal of 7980742224 is 4222470897.

It is a Cunningham number, because it is equal to 89335²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 7980742224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980742223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9290307 + ... + 9291165.

Almost surely, 2^7980742224 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 7980742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780020800).

7980742224 is an abundant number, since it is smaller than the sum of its proper divisors (19579299376).

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

7980742224 is a wasteful number, since it uses less digits than its factorization.

7980742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7980742224 is about 89334.9999944031. Note that the first 5 decimals coincide. The cubic root of 7980742224 is about 1998.3938958934.

The spelling of 7980742224 in words is "seven billion, nine hundred eighty million, seven hundred forty-two thousand, two hundred twenty-four".