7828508160 has 960 divisors, whose sum is σ = 33092167680. Its totient is φ = 1686896640.

The previous prime is 7828508111. The next prime is 7828508167. The reversal of 7828508160 is 618058287.

7828508160 is a `hidden beast` number, since 7 + 82 + 8 + 508 + 1 + 60 = 666.

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

It is a super-2 number, since 2×7828508160² (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 (7828508167) 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, 99095001 + ... + 99095079.

It is an arithmetic number, because the mean of its divisors is an integer number (34471008).

Almost surely, 2^7828508160 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 7828508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

7828508160 is an abundant number, since it is smaller than the sum of its proper divisors (25263659520).

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

7828508160 is a wasteful number, since it uses less digits than its factorization.

7828508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 7828508160 is about 88478.8571354762. The cubic root of 7828508160 is about 1985.6056634089.

The spelling of 7828508160 in words is "seven billion, eight hundred twenty-eight million, five hundred eight thousand, one hundred sixty".