827850240 has 640 divisors, whose sum is σ = 3535488000. Its totient is φ = 179601408.

The previous prime is 827850227. The next prime is 827850253. The reversal of 827850240 is 42058728.

It is a happy number.

827850240 is a `hidden beast` number, since 82 + 78 + 502 + 4 + 0 = 666.

827850240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (827850227) and next prime (827850253).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 827850195 and 827850204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14031331 + ... + 14031389.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2^827850240 is an apocalyptic number.

827850240 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 827850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767744000).

827850240 is an abundant number, since it is smaller than the sum of its proper divisors (2707637760).

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

827850240 is a wasteful number, since it uses less digits than its factorization.

827850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 827850240 is about 28772.3867623108. The cubic root of 827850240 is about 938.9675702546.

The spelling of 827850240 in words is "eight hundred twenty-seven million, eight hundred fifty thousand, two hundred forty".