8760905600 has 96 divisors (see below), whose sum is σ = 21721422240. Its totient is φ = 3491532800.

The previous prime is 8760905599. The next prime is 8760905611. The reversal of 8760905600 is 65090678.

It is a happy number.

It is a super-2 number, since 2×8760905600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 894329 + ... + 904071.

It is an arithmetic number, because the mean of its divisors is an integer number (226264815).

Almost surely, 2^8760905600 is an apocalyptic number.

8760905600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8760905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860711120).

8760905600 is an abundant number, since it is smaller than the sum of its proper divisors (12960516640).

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

8760905600 is a wasteful number, since it uses less digits than its factorization.

8760905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 8760905600 is about 93599.7094012583. The cubic root of 8760905600 is about 2061.4983914163.

The spelling of 8760905600 in words is "eight billion, seven hundred sixty million, nine hundred five thousand, six hundred".