7935861120 has 768 divisors, whose sum is σ = 31503997440. Its totient is φ = 1676083200.

The previous prime is 7935861007. The next prime is 7935861127. The reversal of 7935861120 is 211685397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7935861127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255995505 + ... + 255995535.

It is an arithmetic number, because the mean of its divisors is an integer number (41020830).

Almost surely, 2^7935861120 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 7935861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751998720).

7935861120 is an abundant number, since it is smaller than the sum of its proper divisors (23568136320).

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

7935861120 is a wasteful number, since it uses less digits than its factorization.

7935861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 7935861120 is about 89083.4503148593. The cubic root of 7935861120 is about 1994.6407453554.

The spelling of 7935861120 in words is "seven billion, nine hundred thirty-five million, eight hundred sixty-one thousand, one hundred twenty".