827375040 has 448 divisors, whose sum is σ = 3186501120. Its totient is φ = 201277440.

The previous prime is 827375033. The next prime is 827375063. The reversal of 827375040 is 40573728.

827375040 is a `hidden beast` number, since 82 + 73 + 7 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 827374986 and 827375004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6315775 + ... + 6315905.

Almost surely, 2^827375040 is an apocalyptic number.

827375040 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 827375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593250560).

827375040 is an abundant number, since it is smaller than the sum of its proper divisors (2359126080).

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

827375040 is a wasteful number, since it uses less digits than its factorization.

827375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 827375040 is about 28764.1276592912. The cubic root of 827375040 is about 938.7878747936.

The spelling of 827375040 in words is "eight hundred twenty-seven million, three hundred seventy-five thousand, forty".