7999179760 has 320 divisors, whose sum is σ = 22678548480. Its totient is φ = 2585456640.

The previous prime is 7999179757. The next prime is 7999179803. The reversal of 7999179760 is 679719997.

It is a junction number, because it is equal to n+sod(n) for n = 7999179692 and 7999179701.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 47899197 + ... + 47899363.

It is an arithmetic number, because the mean of its divisors is an integer number (70870464).

Almost surely, 2^7999179760 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 7999179760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339274240).

7999179760 is an abundant number, since it is smaller than the sum of its proper divisors (14679368720).

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

7999179760 is a wasteful number, since it uses less digits than its factorization.

7999179760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 13502538, while the sum is 64.

The square root of 7999179760 is about 89438.1337014587. The cubic root of 7999179760 is about 1999.9316443304.

The spelling of 7999179760 in words is "seven billion, nine hundred ninety-nine million, one hundred seventy-nine thousand, seven hundred sixty".