882867976704 has 960 divisors, whose sum is σ = 3192938496000. Its totient is φ = 235898707968.

The previous prime is 882867976691. The next prime is 882867976721. The reversal of 882867976704 is 407679768288.

It is a super-3 number, since 3×882867976704³ (a number of 37 digits) contains 333 as substring.

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

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, 4436522397 + ... + 4436522595.

It is an arithmetic number, because the mean of its divisors is an integer number (3325977600).

Almost surely, 2^882867976704 is an apocalyptic number.

882867976704 is a gapful number since it is divisible by the number (84) 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 882867976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596469248000).

882867976704 is an abundant number, since it is smaller than the sum of its proper divisors (2310070519296).

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

882867976704 is a wasteful number, since it uses less digits than its factorization.

882867976704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 882867976704 in words is "eight hundred eighty-two billion, eight hundred sixty-seven million, nine hundred seventy-six thousand, seven hundred four".