827753472 has 528 divisors, whose sum is σ = 3136331520. Its totient is φ = 213663744.

The previous prime is 827753431. The next prime is 827753533. The reversal of 827753472 is 274357728.

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, 17611753 + ... + 17611799.

Almost surely, 2^827753472 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 827753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568165760).

827753472 is an abundant number, since it is smaller than the sum of its proper divisors (2308578048).

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

827753472 is a wasteful number, since it uses less digits than its factorization.

827753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 827753472 is about 28770.7051008487. The cubic root of 827753472 is about 938.9309833013.

The spelling of 827753472 in words is "eight hundred twenty-seven million, seven hundred fifty-three thousand, four hundred seventy-two".