827080 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 295680.

The previous prime is 827063. The next prime is 827087. The reversal of 827080 is 80728.

827080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×827080² = 1368122652800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827087) by changing a digit.

827080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26665 + ... + 26695.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁸²⁷⁰⁸⁰ 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 827080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

827080 is an abundant number, since it is smaller than the sum of its proper divisors (1246520).

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

827080 is a wasteful number, since it uses less digits than its factorization.

827080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 827080 is about 909.4393877549. The cubic root of 827080 is about 93.8676271675.

The spelling of 827080 in words is "eight hundred twenty-seven thousand, eighty".