827480 has 32 divisors (see below), whose sum is σ = 1887840. Its totient is φ = 326400.

The previous prime is 827473. The next prime is 827501. The reversal of 827480 is 84728.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5405 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (58995).

2⁸²⁷⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

827480 is an abundant number, since it is smaller than the sum of its proper divisors (1060360).

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

827480 is a wasteful number, since it uses less digits than its factorization.

827480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 827480 is about 909.6592768724. The cubic root of 827480 is about 93.8827571023.

The spelling of 827480 in words is "eight hundred twenty-seven thousand, four hundred eighty".