827472820 has 12 divisors (see below), whose sum is σ = 1737692964. Its totient is φ = 330989120.

The previous prime is 827472803. The next prime is 827472827. The reversal of 827472820 is 28274728.

827472820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 621205776 + 206267044 = 24924^2 + 14362^2 .

It is a super-2 number, since 2×827472820² = 1369422535677504800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827472827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20686801 + ... + 20686840.

It is an arithmetic number, because the mean of its divisors is an integer number (144807747).

Almost surely, 2^827472820 is an apocalyptic number.

It is an amenable number.

827472820 is an abundant number, since it is smaller than the sum of its proper divisors (910220144).

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

827472820 is a wasteful number, since it uses less digits than its factorization.

827472820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41373650 (or 41373648 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 827472820 is about 28765.8272955950. The cubic root of 827472820 is about 938.8248556298.

The spelling of 827472820 in words is "eight hundred twenty-seven million, four hundred seventy-two thousand, eight hundred twenty".