7656131200 has 48 divisors (see below), whose sum is σ = 18913044510. Its totient is φ = 3062451200.

The previous prime is 7656131191. The next prime is 7656131201. The reversal of 7656131200 is 21316567.

It can be written as a sum of positive squares in 3 ways, for example, as 4887687744 + 2768443456 = 69912^2 + 52616^2 .

It is a super-2 number, since 2×7656131200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7656131201) 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 5 ways as a sum of consecutive naturals, for example, 1193071 + ... + 1199470.

Almost surely, 2^7656131200 is an apocalyptic number.

It is an amenable number.

7656131200 is an abundant number, since it is smaller than the sum of its proper divisors (11256913310).

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

7656131200 is a wasteful number, since it uses less digits than its factorization.

7656131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392565 (or 2392548 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 7656131200 is about 87499.3211402237. The cubic root of 7656131200 is about 1970.9235965713.

Adding to 7656131200 its reverse (21316567), we get a palindrome (7677447767).

The spelling of 7656131200 in words is "seven billion, six hundred fifty-six million, one hundred thirty-one thousand, two hundred".