7852953600 has 234 divisors, whose sum is σ = 28130891906. Its totient is φ = 2093875200.

The previous prime is 7852953569. The next prime is 7852953607. The reversal of 7852953600 is 63592587.

It is a happy number.

7852953600 is a `hidden beast` number, since 78 + 529 + 53 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 454201344 + 7398752256 = 21312^2 + 86016^2 .

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 (7852953607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 917340 + ... + 925860.

Almost surely, 2^7852953600 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 7852953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065445953).

7852953600 is an abundant number, since it is smaller than the sum of its proper divisors (20277938306).

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

7852953600 is a wasteful number, since it uses less digits than its factorization.

7852953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7852953600 is about 88616.8922948667. The cubic root of 7852953600 is about 1987.6702785165.

The spelling of 7852953600 in words is "seven billion, eight hundred fifty-two million, nine hundred fifty-three thousand, six hundred".