827853180 has 192 divisors, whose sum is σ = 3042385920. Its totient is φ = 162950400.

The previous prime is 827853167. The next prime is 827853209. The reversal of 827853180 is 81358728.

It is a happy number.

It is a super-2 number, since 2×827853180² = 1370681775272224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 83065 + ... + 92495.

It is an arithmetic number, because the mean of its divisors is an integer number (15845760).

Almost surely, 2^827853180 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 827853180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521192960).

827853180 is an abundant number, since it is smaller than the sum of its proper divisors (2214532740).

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

827853180 is a wasteful number, since it uses less digits than its factorization.

827853180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9480 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 827853180 is about 28772.4378529175. The cubic root of 827853180 is about 938.9686817928.

The spelling of 827853180 in words is "eight hundred twenty-seven million, eight hundred fifty-three thousand, one hundred eighty".