882796320 has 480 divisors, whose sum is σ = 3670748928. Its totient is φ = 195581952.

The previous prime is 882796307. The next prime is 882796361. The reversal of 882796320 is 23697288.

882796320 is a `hidden beast` number, since 8 + 8 + 2 + 7 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3356509 + ... + 3356771.

Almost surely, 2^882796320 is an apocalyptic number.

882796320 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 882796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835374464).

882796320 is an abundant number, since it is smaller than the sum of its proper divisors (2787952608).

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

882796320 is a wasteful number, since it uses less digits than its factorization.

882796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 882796320 is about 29711.8885296778. Note that the first 3 decimals coincide. The cubic root of 882796320 is about 959.2979241768.

The spelling of 882796320 in words is "eight hundred eighty-two million, seven hundred ninety-six thousand, three hundred twenty".