827035920 has 320 divisors, whose sum is σ = 3001593600. Its totient is φ = 211631616.

The previous prime is 827035901. The next prime is 827035939. The reversal of 827035920 is 29530728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (827035901) and next prime (827035939).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5073759 + ... + 5073921.

It is an arithmetic number, because the mean of its divisors is an integer number (9379980).

Almost surely, 2^827035920 is an apocalyptic number.

827035920 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 827035920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500796800).

827035920 is an abundant number, since it is smaller than the sum of its proper divisors (2174557680).

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

827035920 is a wasteful number, since it uses less digits than its factorization.

827035920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 827035920 is about 28758.2322127074. The cubic root of 827035920 is about 938.6595955028.

The spelling of 827035920 in words is "eight hundred twenty-seven million, thirty-five thousand, nine hundred twenty".