827863920 has 240 divisors, whose sum is σ = 3014723712. Its totient is φ = 202383360.

The previous prime is 827863903. The next prime is 827863921. The reversal of 827863920 is 29368728.

827863920 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 639 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (827863921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255577 + ... + 2255943.

Almost surely, 2^827863920 is an apocalyptic number.

827863920 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 827863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507361856).

827863920 is an abundant number, since it is smaller than the sum of its proper divisors (2186859792).

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

827863920 is a wasteful number, since it uses less digits than its factorization.

827863920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

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

The square root of 827863920 is about 28772.6244892606. The cubic root of 827863920 is about 938.9727422874.

The spelling of 827863920 in words is "eight hundred twenty-seven million, eight hundred sixty-three thousand, nine hundred twenty".