827408512 has 96 divisors (see below), whose sum is σ = 1984027500. Its totient is φ = 342300672.

The previous prime is 827408503. The next prime is 827408521. The reversal of 827408512 is 215804728.

It is an interprime number because it is at equal distance from previous prime (827408503) and next prime (827408521).

It can be written as a sum of positive squares in 2 ways, for example, as 812478016 + 14930496 = 28504^2 + 3864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179614 + ... + 184162.

Almost surely, 2^827408512 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 827408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992013750).

827408512 is an abundant number, since it is smaller than the sum of its proper divisors (1156618988).

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

827408512 is a wasteful number, since it uses less digits than its factorization.

827408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 827408512 is about 28764.7094892335. The cubic root of 827408512 is about 938.8005343827.

The spelling of 827408512 in words is "eight hundred twenty-seven million, four hundred eight thousand, five hundred twelve".