7943738880 has 960 divisors, whose sum is σ = 34258878720. Its totient is φ = 1548288000.

The previous prime is 7943738863. The next prime is 7943738909. The reversal of 7943738880 is 888373497.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7943738880.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 78650830 + ... + 78650930.

It is an arithmetic number, because the mean of its divisors is an integer number (35686332).

Almost surely, 2^7943738880 is an apocalyptic number.

7943738880 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 7943738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129439360).

7943738880 is an abundant number, since it is smaller than the sum of its proper divisors (26315139840).

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

7943738880 is a wasteful number, since it uses less digits than its factorization.

7943738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The square root of 7943738880 is about 89127.6549674679. The cubic root of 7943738880 is about 1995.3005395179.

The spelling of 7943738880 in words is "seven billion, nine hundred forty-three million, seven hundred thirty-eight thousand, eight hundred eighty".