827105792 has 90 divisors (see below), whose sum is σ = 1750290597. Its totient is φ = 390451200.

The previous prime is 827105791. The next prime is 827105801. The reversal of 827105792 is 297501728.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 590684416 + 236421376 = 24304^2 + 15376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20336.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (827105791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20173292 + ... + 20173332.

Almost surely, 2^827105792 is an apocalyptic number.

827105792 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827105792

827105792 is an abundant number, since it is smaller than the sum of its proper divisors (923184805).

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

827105792 is an frugal number, since it uses more digits than its factorization.

827105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 827105792 is about 28759.4470044193. The cubic root of 827105792 is about 938.6860289280.

The spelling of 827105792 in words is "eight hundred twenty-seven million, one hundred five thousand, seven hundred ninety-two".