7943825760 has 192 divisors, whose sum is σ = 27028064448. Its totient is φ = 1949589504.

The previous prime is 7943825749. The next prime is 7943825797. The reversal of 7943825760 is 675283497.

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 31 ways as a sum of consecutive naturals, for example, 2325814 + ... + 2329226.

It is an arithmetic number, because the mean of its divisors is an integer number (140771169).

Almost surely, 2^7943825760 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 7943825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514032224).

7943825760 is an abundant number, since it is smaller than the sum of its proper divisors (19084238688).

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

7943825760 is a wasteful number, since it uses less digits than its factorization.

7943825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 7943825760 is about 89128.1423569458. The cubic root of 7943825760 is about 1995.3078136357.

The spelling of 7943825760 in words is "seven billion, nine hundred forty-three million, eight hundred twenty-five thousand, seven hundred sixty".