883826827920 has 280 divisors, whose sum is σ = 3082687266816. Its totient is φ = 235553266944.

The previous prime is 883826827913. The next prime is 883826827921. The reversal of 883826827920 is 29728628388.

883826827920 is a `hidden beast` number, since 8 + 83 + 8 + 268 + 279 + 20 = 666.

It is a super-2 number, since 2×883826827920² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (883826827921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 143872369 + ... + 143878511.

Almost surely, 2^883826827920 is an apocalyptic number.

883826827920 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 883826827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541343633408).

883826827920 is an abundant number, since it is smaller than the sum of its proper divisors (2198860438896).

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

883826827920 is a wasteful number, since it uses less digits than its factorization.

883826827920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 883826827920 in words is "eight hundred eighty-three billion, eight hundred twenty-six million, eight hundred twenty-seven thousand, nine hundred twenty".