827000820 has 96 divisors (see below), whose sum is σ = 2578262400. Its totient is φ = 220073472.

The previous prime is 827000813. The next prime is 827000833. The reversal of 827000820 is 28000728.

827000820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315676 + ... + 318284.

It is an arithmetic number, because the mean of its divisors is an integer number (26856900).

Almost surely, 2^827000820 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 827000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289131200).

827000820 is an abundant number, since it is smaller than the sum of its proper divisors (1751261580).

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

827000820 is a wasteful number, since it uses less digits than its factorization.

827000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3206 counting only the distinct ones).

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

The square root of 827000820 is about 28757.6219461902. The cubic root of 827000820 is about 938.6463161852.

The spelling of 827000820 in words is "eight hundred twenty-seven million, eight hundred twenty", and thus it is an aban number.