8782600960 has 144 divisors (see below), whose sum is σ = 24140261376. Its totient is φ = 2998923264.

The previous prime is 8782600951. The next prime is 8782600963. The reversal of 8782600960 is 690062878.

It is a self number, because there is not a number n which added to its sum of digits gives 8782600960.

It is not an unprimeable number, because it can be changed into a prime (8782600963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354617 + ... + 2358343.

It is an arithmetic number, because the mean of its divisors is an integer number (167640704).

Almost surely, 2^8782600960 is an apocalyptic number.

8782600960 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 8782600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070130688).

8782600960 is an abundant number, since it is smaller than the sum of its proper divisors (15357660416).

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

8782600960 is a wasteful number, since it uses less digits than its factorization.

8782600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 8782600960 is about 93715.5321171469. The cubic root of 8782600960 is about 2063.1986753742.

The spelling of 8782600960 in words is "eight billion, seven hundred eighty-two million, six hundred thousand, nine hundred sixty".