8782638480 has 960 divisors, whose sum is σ = 38858227200. Its totient is φ = 1761177600.

The previous prime is 8782638433. The next prime is 8782638499. The reversal of 8782638480 is 848362878.

8782638480 is a `hidden beast` number, since 87 + 82 + 6 + 3 + 8 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143977650 + ... + 143977710.

It is an arithmetic number, because the mean of its divisors is an integer number (40477320).

Almost surely, 2^8782638480 is an apocalyptic number.

8782638480 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 8782638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429113600).

8782638480 is an abundant number, since it is smaller than the sum of its proper divisors (30075588720).

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

8782638480 is a wasteful number, since it uses less digits than its factorization.

8782638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 8782638480 is about 93715.7322971976. The cubic root of 8782638480 is about 2063.2016134220.

The spelling of 8782638480 in words is "eight billion, seven hundred eighty-two million, six hundred thirty-eight thousand, four hundred eighty".