827280 has 80 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 220032.

The previous prime is 827269. The next prime is 827293. The reversal of 827280 is 82728.

827280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2⁸²⁷²⁸⁰ is an apocalyptic number.

827280 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 827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

827280 is an abundant number, since it is smaller than the sum of its proper divisors (2029680).

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

827280 is a wasteful number, since it uses less digits than its factorization.

827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 827280 is about 909.5493389586. The cubic root of 827280 is about 93.8751927445.

The spelling of 827280 in words is "eight hundred twenty-seven thousand, two hundred eighty".