7852277160 has 512 divisors, whose sum is σ = 32554368000. Its totient is φ = 1639305216.

The previous prime is 7852277149. The next prime is 7852277161. The reversal of 7852277160 is 617722587.

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

It is not an unprimeable number, because it can be changed into a prime (7852277161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10712154 + ... + 10712886.

It is an arithmetic number, because the mean of its divisors is an integer number (63582750).

Almost surely, 2^7852277160 is an apocalyptic number.

7852277160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7852277160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277184000).

7852277160 is an abundant number, since it is smaller than the sum of its proper divisors (24702090840).

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

7852277160 is a wasteful number, since it uses less digits than its factorization.

7852277160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 7852277160 is about 88613.0755588587. The cubic root of 7852277160 is about 1987.6132053710.

The spelling of 7852277160 in words is "seven billion, eight hundred fifty-two million, two hundred seventy-seven thousand, one hundred sixty".