827447040 has 432 divisors, whose sum is σ = 3387611136. Its totient is φ = 182476800.

The previous prime is 827447039. The next prime is 827447041. The reversal of 827447040 is 40744728.

827447040 is a `hidden beast` number, since 82 + 74 + 470 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (827447039) and next prime (827447041).

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 = 827446986 and 827447004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827447041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499675 + ... + 2500005.

Almost surely, 2^827447040 is an apocalyptic number.

827447040 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 827447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693805568).

827447040 is an abundant number, since it is smaller than the sum of its proper divisors (2560164096).

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

827447040 is a wasteful number, since it uses less digits than its factorization.

827447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 827447040 is about 28765.3791909650. The cubic root of 827447040 is about 938.8151058006.

The spelling of 827447040 in words is "eight hundred twenty-seven million, four hundred forty-seven thousand, forty".