882768479328 has 432 divisors, whose sum is σ = 2774201451840. Its totient is φ = 276069710592.

The previous prime is 882768479311. The next prime is 882768479363. The reversal of 882768479328 is 823974867288.

882768479328 is a `hidden beast` number, since 8 + 82 + 76 + 8 + 479 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300362083 + ... + 300365021.

It is an arithmetic number, because the mean of its divisors is an integer number (6421762620).

Almost surely, 2^882768479328 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 882768479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387100725920).

882768479328 is an abundant number, since it is smaller than the sum of its proper divisors (1891432972512).

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

882768479328 is a wasteful number, since it uses less digits than its factorization.

882768479328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3070 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 882768479328 in words is "eight hundred eighty-two billion, seven hundred sixty-eight million, four hundred seventy-nine thousand, three hundred twenty-eight".