827364480 has 128 divisors (see below), whose sum is σ = 2673803520. Its totient is φ = 217571328.

The previous prime is 827364479. The next prime is 827364497. The reversal of 827364480 is 84463728.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137209 + ... + 143111.

It is an arithmetic number, because the mean of its divisors is an integer number (20889090).

Almost surely, 2^827364480 is an apocalyptic number.

827364480 is a gapful number since it is divisible by the number (80) 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 827364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336901760).

827364480 is an abundant number, since it is smaller than the sum of its proper divisors (1846439040).

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

827364480 is a wasteful number, since it uses less digits than its factorization.

827364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 827364480 is about 28763.9440967333. The cubic root of 827364480 is about 938.7838807798.

The spelling of 827364480 in words is "eight hundred twenty-seven million, three hundred sixty-four thousand, four hundred eighty".