827883840 has 224 divisors, whose sum is σ = 3021177600. Its totient is φ = 188153856.

The previous prime is 827883829. The next prime is 827883841. The reversal of 827883840 is 48388728.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 827883840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827883841) 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, 2345104 + ... + 2345456.

It is an arithmetic number, because the mean of its divisors is an integer number (13487400).

Almost surely, 2^827883840 is an apocalyptic number.

827883840 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 827883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510588800).

827883840 is an abundant number, since it is smaller than the sum of its proper divisors (2193293760).

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

827883840 is a wasteful number, since it uses less digits than its factorization.

827883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 827883840 is about 28772.9706495523. The cubic root of 827883840 is about 938.9802733910.

The spelling of 827883840 in words is "eight hundred twenty-seven million, eight hundred eighty-three thousand, eight hundred forty".