827727264 has 144 divisors (see below), whose sum is σ = 2897137152. Its totient is φ = 218294784.

The previous prime is 827727233. The next prime is 827727269. The reversal of 827727264 is 462727728.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (827727269) 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 23 ways as a sum of consecutive naturals, for example, 10417 + ... + 41999.

It is an arithmetic number, because the mean of its divisors is an integer number (20119008).

Almost surely, 2^827727264 is an apocalyptic number.

827727264 is a gapful number since it is divisible by the number (84) 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 827727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448568576).

827727264 is an abundant number, since it is smaller than the sum of its proper divisors (2069409888).

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

827727264 is a wasteful number, since it uses less digits than its factorization.

827727264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31619 (or 31608 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 827727264 is about 28770.2496339535. The cubic root of 827727264 is about 938.9210738440.

The spelling of 827727264 in words is "eight hundred twenty-seven million, seven hundred twenty-seven thousand, two hundred sixty-four".