7835160960 has 192 divisors, whose sum is σ = 29515646160. Its totient is φ = 1899417600.

The previous prime is 7835160953. The next prime is 7835160961. The reversal of 7835160960 is 690615387.

It is a happy number.

7835160960 is a `hidden beast` number, since 7 + 8 + 35 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7835160960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7835160961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1530 + ... + 125190.

Almost surely, 2^7835160960 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 7835160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757823080).

7835160960 is an abundant number, since it is smaller than the sum of its proper divisors (21680485200).

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

7835160960 is a wasteful number, since it uses less digits than its factorization.

7835160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123697 (or 123682 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7835160960 is about 88516.4445738756. Note that the first 3 decimals coincide. The cubic root of 7835160960 is about 1986.1679713596.

The spelling of 7835160960 in words is "seven billion, eight hundred thirty-five million, one hundred sixty thousand, nine hundred sixty".