827032320 has 432 divisors, whose sum is σ = 3133795392. Its totient is φ = 200540160.

The previous prime is 827032319. The next prime is 827032331. The reversal of 827032320 is 23230728.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8029389 + ... + 8029491.

It is an arithmetic number, because the mean of its divisors is an integer number (7254156).

Almost surely, 2^827032320 is an apocalyptic number.

827032320 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 827032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566897696).

827032320 is an abundant number, since it is smaller than the sum of its proper divisors (2306763072).

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

827032320 is a wasteful number, since it uses less digits than its factorization.

827032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 827032320 is about 28758.1696218657. The cubic root of 827032320 is about 938.6582335388.

The spelling of 827032320 in words is "eight hundred twenty-seven million, thirty-two thousand, three hundred twenty".