827418120 has 64 divisors (see below), whose sum is σ = 2494800000. Its totient is φ = 219529728.

The previous prime is 827418107. The next prime is 827418121. The reversal of 827418120 is 21814728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (827418121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6556 + ... + 41204.

It is an arithmetic number, because the mean of its divisors is an integer number (38981250).

Almost surely, 2^827418120 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 827418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247400000).

827418120 is an abundant number, since it is smaller than the sum of its proper divisors (1667381880).

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

827418120 is a wasteful number, since it uses less digits than its factorization.

827418120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34862 (or 34858 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 827418120 is about 28764.8764989527. The cubic root of 827418120 is about 938.8041682026.

The spelling of 827418120 in words is "eight hundred twenty-seven million, four hundred eighteen thousand, one hundred twenty".