827167680 has 112 divisors (see below), whose sum is σ = 2918094240. Its totient is φ = 220575744.

The previous prime is 827167643. The next prime is 827167681. The reversal of 827167680 is 86761728.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827167681) 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 15 ways as a sum of consecutive naturals, for example, 39229 + ... + 56508.

Almost surely, 2^827167680 is an apocalyptic number.

827167680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827167680 is an abundant number, since it is smaller than the sum of its proper divisors (2090926560).

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

827167680 is a wasteful number, since it uses less digits than its factorization.

827167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95763 (or 95747 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 827167680 is about 28760.5229437853. The cubic root of 827167680 is about 938.7094406659.

The spelling of 827167680 in words is "eight hundred twenty-seven million, one hundred sixty-seven thousand, six hundred eighty".