7725081600 has 198 divisors, whose sum is σ = 27660271730. Its totient is φ = 2059960320.

The previous prime is 7725081589. The next prime is 7725081607. The reversal of 7725081600 is 61805277.

It can be written as a sum of positive squares in 3 ways, for example, as 717382656 + 7007698944 = 26784^2 + 83712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7725081607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 213636 + ... + 247164.

Almost surely, 2^7725081600 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 7725081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830135865).

7725081600 is an abundant number, since it is smaller than the sum of its proper divisors (19935190130).

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

7725081600 is a wasteful number, since it uses less digits than its factorization.

7725081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33565 (or 33539 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7725081600 is about 87892.4433611900. The cubic root of 7725081600 is about 1976.8225743665.

Adding to 7725081600 its reverse (61805277), we get a palindrome (7786886877).

The spelling of 7725081600 in words is "seven billion, seven hundred twenty-five million, eighty-one thousand, six hundred".