827919092 has 144 divisors (see below), whose sum is σ = 2005597440. Its totient is φ = 293932800.

The previous prime is 827919049. The next prime is 827919101. The reversal of 827919092 is 290919728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3054917 + ... + 3055187.

It is an arithmetic number, because the mean of its divisors is an integer number (13927760).

Almost surely, 2^827919092 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 827919092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002798720).

827919092 is an abundant number, since it is smaller than the sum of its proper divisors (1177678348).

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

827919092 is a wasteful number, since it uses less digits than its factorization.

827919092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 827919092 is about 28773.5832318465. The cubic root of 827919092 is about 938.9936007288.

It can be divided in two parts, 827 and 919092, that added together give a palindrome (919919).

The spelling of 827919092 in words is "eight hundred twenty-seven million, nine hundred nineteen thousand, ninety-two".