7990805760 has 576 divisors, whose sum is σ = 30516756480. Its totient is φ = 1744404480.

The previous prime is 7990805747. The next prime is 7990805773. The reversal of 7990805760 is 675080997.

It is an interprime number because it is at equal distance from previous prime (7990805747) and next prime (7990805773).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101149401 + ... + 101149479.

It is an arithmetic number, because the mean of its divisors is an integer number (52980480).

Almost surely, 2^7990805760 is an apocalyptic number.

7990805760 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 7990805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258378240).

7990805760 is an abundant number, since it is smaller than the sum of its proper divisors (22525950720).

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

7990805760 is a wasteful number, since it uses less digits than its factorization.

7990805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 7990805760 is about 89391.3069599052. The cubic root of 7990805760 is about 1999.2335196248.

The spelling of 7990805760 in words is "seven billion, nine hundred ninety million, eight hundred five thousand, seven hundred sixty".