7852795456 has 189 divisors, whose sum is σ = 18424753473. Its totient is φ = 3317783040.

The previous prime is 7852795441. The next prime is 7852795459. The reversal of 7852795456 is 6545972587.

The square root of 7852795456 is 88616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5661057600 + 2191737856 = 75240^2 + 46816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7852795456.

It is not an unprimeable number, because it can be changed into a prime (7852795459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148165926 + ... + 148165978.

Almost surely, 2^7852795456 is an apocalyptic number.

7852795456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7852795456 is the 88616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7852795456

7852795456 is an abundant number, since it is smaller than the sum of its proper divisors (10571958017).

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

7852795456 is a wasteful number, since it uses less digits than its factorization.

7852795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 85 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 58.

The cubic root of 7852795456 is about 1987.6569357560.

It can be divided in two parts, 7852 and 795456, that added together give a palindrome (803308).

The spelling of 7852795456 in words is "seven billion, eight hundred fifty-two million, seven hundred ninety-five thousand, four hundred fifty-six".