8760534432400 has 135 divisors (see below), whose sum is σ = 22216085185851. Its totient is φ = 3319355255040.

The previous prime is 8760534432371. The next prime is 8760534432401. The reversal of 8760534432400 is 42344350678.

The square root of 8760534432400 is 2959820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22030871184 + 8738503561216 = 148428^2 + 2956096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8760534432401) 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, 1124727706 + ... + 1124735494.

Almost surely, 2^{8760534432400} is an apocalyptic number.

8760534432400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8760534432400 is the 2959820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8760534432400

8760534432400 is an abundant number, since it is smaller than the sum of its proper divisors (13455550753451).

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

8760534432400 is an frugal number, since it uses more digits than its factorization.

8760534432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 8760534432400 in words is "eight trillion, seven hundred sixty billion, five hundred thirty-four million, four hundred thirty-two thousand, four hundred".