827372304 has 120 divisors (see below), whose sum is σ = 2537275104. Its totient is φ = 249600000.

The previous prime is 827372297. The next prime is 827372317. The reversal of 827372304 is 403273728.

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 23 ways as a sum of consecutive naturals, for example, 396544 + ... + 398624.

Almost surely, 2^827372304 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 827372304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268637552).

827372304 is an abundant number, since it is smaller than the sum of its proper divisors (1709902800).

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

827372304 is a wasteful number, since it uses less digits than its factorization.

827372304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 827372304 is about 28764.0801000136. The cubic root of 827372304 is about 938.7868399842.

The spelling of 827372304 in words is "eight hundred twenty-seven million, three hundred seventy-two thousand, three hundred four".