827786304 has 336 divisors, whose sum is σ = 2715987456. Its totient is φ = 248832000.

The previous prime is 827786303. The next prime is 827786341. The reversal of 827786304 is 403687728.

It is a happy number.

827786304 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 8 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 827786304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827786303) 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, 8195854 + ... + 8195954.

It is an arithmetic number, because the mean of its divisors is an integer number (8083296).

Almost surely, 2^827786304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357993728).

827786304 is an abundant number, since it is smaller than the sum of its proper divisors (1888201152).

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

827786304 is a wasteful number, since it uses less digits than its factorization.

827786304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 827786304 is about 28771.2756755762. The cubic root of 827786304 is about 938.9433970515.

The spelling of 827786304 in words is "eight hundred twenty-seven million, seven hundred eighty-six thousand, three hundred four".