7893060960 has 192 divisors, whose sum is σ = 25546897152. Its totient is φ = 2047727616.

The previous prime is 7893060953. The next prime is 7893060991. The reversal of 7893060960 is 690603987.

It is a happy number.

It is a super-2 number, since 2×7893060960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2667802 + ... + 2670758.

It is an arithmetic number, because the mean of its divisors is an integer number (133056756).

Almost surely, 2^7893060960 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 7893060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773448576).

7893060960 is an abundant number, since it is smaller than the sum of its proper divisors (17653836192).

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

7893060960 is a wasteful number, since it uses less digits than its factorization.

7893060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 7893060960 is about 88842.9004479255. The cubic root of 7893060960 is about 1991.0484076051.

The spelling of 7893060960 in words is "seven billion, eight hundred ninety-three million, sixty thousand, nine hundred sixty".