7665601600 has 84 divisors (see below), whose sum is σ = 19171630948. Its totient is φ = 3015936000.

The previous prime is 7665601591. The next prime is 7665601649. The reversal of 7665601600 is 61065667.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 451477504 + 7214124096 = 21248^2 + 84936^2 .

It is a super-2 number, since 2×7665601600² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7665601600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58330 + ... + 136870.

Almost surely, 2^7665601600 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 7665601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585815474).

7665601600 is an abundant number, since it is smaller than the sum of its proper divisors (11506029348).

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

7665601600 is a wasteful number, since it uses less digits than its factorization.

7665601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78624 (or 78609 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 7665601600 is about 87553.4214065904. The cubic root of 7665601600 is about 1971.7359191154.

The spelling of 7665601600 in words is "seven billion, six hundred sixty-five million, six hundred one thousand, six hundred".