827720604 has 36 divisors (see below), whose sum is σ = 2118785760. Its totient is φ = 272413440.

The previous prime is 827720567. The next prime is 827720609. The reversal of 827720604 is 406027728.

827720604 is a `hidden beast` number, since 8 + 27 + 7 + 20 + 604 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×827720604² = 1370242796572249632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827720609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142677 + ... + 148364.

It is an arithmetic number, because the mean of its divisors is an integer number (58855160).

Almost surely, 2^827720604 is an apocalyptic number.

It is an amenable number.

827720604 is an abundant number, since it is smaller than the sum of its proper divisors (1291065156).

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

827720604 is a wasteful number, since it uses less digits than its factorization.

827720604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291130 (or 291125 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 827720604 is about 28770.1338891567. The cubic root of 827720604 is about 938.9185556107.

The spelling of 827720604 in words is "eight hundred twenty-seven million, seven hundred twenty thousand, six hundred four".