827920 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 324480.

The previous prime is 827903. The next prime is 827923. The reversal of 827920 is 29728.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁴ + 2⁴ + 9 + 7⁷ + 2⁸ + 0 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (827923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6255 + ... + 6385.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸²⁷⁹²⁰ is an apocalyptic number.

827920 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 827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

827920 is an abundant number, since it is smaller than the sum of its proper divisors (1136240).

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

827920 is a wasteful number, since it uses less digits than its factorization.

827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 827920 is about 909.9010935261. The cubic root of 827920 is about 93.8993944001.

The spelling of 827920 in words is "eight hundred twenty-seven thousand, nine hundred twenty".