827793000 has 512 divisors, whose sum is σ = 3162931200. Its totient is φ = 199584000.

The previous prime is 827792963. The next prime is 827793011. The reversal of 827793000 is 397728.

827793000 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19250979 + ... + 19251021.

It is an arithmetic number, because the mean of its divisors is an integer number (6177600).

Almost surely, 2^827793000 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 827793000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581465600).

827793000 is an abundant number, since it is smaller than the sum of its proper divisors (2335138200).

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

827793000 is a wasteful number, since it uses less digits than its factorization.

827793000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 827793000 is about 28771.3920414011. The cubic root of 827793000 is about 938.9459287628.

The spelling of 827793000 in words is "eight hundred twenty-seven million, seven hundred ninety-three thousand".