882864768 has 64 divisors (see below), whose sum is σ = 2350422720. Its totient is φ = 293621760.

The previous prime is 882864761. The next prime is 882864799. The reversal of 882864768 is 867468288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (882864761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184648 + ... + 189368.

It is an arithmetic number, because the mean of its divisors is an integer number (36725355).

Almost surely, 2^882864768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175211360).

882864768 is an abundant number, since it is smaller than the sum of its proper divisors (1467557952).

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

882864768 is a wasteful number, since it uses less digits than its factorization.

882864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5213 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The square root of 882864768 is about 29713.0403695078. The cubic root of 882864768 is about 959.3227167312.

The spelling of 882864768 in words is "eight hundred eighty-two million, eight hundred sixty-four thousand, seven hundred sixty-eight".