882817920 has 256 divisors, whose sum is σ = 3196108800. Its totient is φ = 230197248.

The previous prime is 882817909. The next prime is 882817927. The reversal of 882817920 is 29718288.

It is a happy number.

882817920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882817927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811617 + ... + 812703.

It is an arithmetic number, because the mean of its divisors is an integer number (12484800).

Almost surely, 2^882817920 is an apocalyptic number.

882817920 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 882817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598054400).

882817920 is an abundant number, since it is smaller than the sum of its proper divisors (2313290880).

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

882817920 is a wasteful number, since it uses less digits than its factorization.

882817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 882817920 is about 29712.2520183173. The cubic root of 882817920 is about 959.3057480525.

The spelling of 882817920 in words is "eight hundred eighty-two million, eight hundred seventeen thousand, nine hundred twenty".