882715680 has 576 divisors, whose sum is σ = 3962649600. Its totient is φ = 173352960.

The previous prime is 882715663. The next prime is 882715693. The reversal of 882715680 is 86517288.

882715680 is a `hidden beast` number, since 8 + 82 + 7 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106511 + ... + 2106929.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^882715680 is an apocalyptic number.

882715680 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 882715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

882715680 is an abundant number, since it is smaller than the sum of its proper divisors (3079933920).

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

882715680 is a wasteful number, since it uses less digits than its factorization.

882715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 882715680 is about 29710.5314661317. The cubic root of 882715680 is about 959.2687139130.

The spelling of 882715680 in words is "eight hundred eighty-two million, seven hundred fifteen thousand, six hundred eighty".