827725824 has 96 divisors (see below), whose sum is σ = 2452086000. Its totient is φ = 275890176.

The previous prime is 827725799. The next prime is 827725849. The reversal of 827725824 is 428527728.

It is an interprime number because it is at equal distance from previous prime (827725799) and next prime (827725849).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 827725824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47812 + ... + 62780.

Almost surely, 2^827725824 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 827725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226043000).

827725824 is an abundant number, since it is smaller than the sum of its proper divisors (1624360176).

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

827725824 is a wasteful number, since it uses less digits than its factorization.

827725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15000 (or 14974 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 827725824 is about 28770.2246080909. The cubic root of 827725824 is about 938.9205293623.

The spelling of 827725824 in words is "eight hundred twenty-seven million, seven hundred twenty-five thousand, eight hundred twenty-four".