827313804 has 48 divisors (see below), whose sum is σ = 2152936800. Its totient is φ = 274736448.

The previous prime is 827313761. The next prime is 827313811. The reversal of 827313804 is 408313728.

827313804 is a `hidden beast` number, since 8 + 273 + 1 + 380 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 14814 + ... + 43290.

It is an arithmetic number, because the mean of its divisors is an integer number (44852850).

Almost surely, 2^827313804 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 827313804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076468400).

827313804 is an abundant number, since it is smaller than the sum of its proper divisors (1325622996).

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

827313804 is a wasteful number, since it uses less digits than its factorization.

827313804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28759 (or 28751 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 827313804 is about 28763.0631887496. The cubic root of 827313804 is about 938.7647135790.

The spelling of 827313804 in words is "eight hundred twenty-seven million, three hundred thirteen thousand, eight hundred four".