827080128 has 84 divisors (see below), whose sum is σ = 2709357040. Its totient is φ = 236307456.

The previous prime is 827080123. The next prime is 827080153. The reversal of 827080128 is 821080728.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a junction number, because it is equal to n+sod(n) for n = 827080092 and 827080101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827080123) 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, 98533 + ... + 106596.

Almost surely, 2^827080128 is an apocalyptic number.

It is an amenable number.

827080128 is an abundant number, since it is smaller than the sum of its proper divisors (1882276912).

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

827080128 is a wasteful number, since it uses less digits than its factorization.

827080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205154 (or 205141 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 827080128 is about 28759.0008171355. Note that the first 3 decimals coincide. The cubic root of 827080128 is about 938.6763200984.

The spelling of 827080128 in words is "eight hundred twenty-seven million, eighty thousand, one hundred twenty-eight".