821525760 has 288 divisors, whose sum is σ = 3181772160. Its totient is φ = 199065600.

The previous prime is 821525701. The next prime is 821525813. The reversal of 821525760 is 67525128.

It is a happy number.

821525760 is a `hidden beast` number, since 82 + 1 + 5 + 2 + 576 + 0 = 666.

821525760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379080 + ... + 381240.

It is an arithmetic number, because the mean of its divisors is an integer number (11047820).

Almost surely, 2^821525760 is an apocalyptic number.

821525760 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 821525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590886080).

821525760 is an abundant number, since it is smaller than the sum of its proper divisors (2360246400).

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

821525760 is a wasteful number, since it uses less digits than its factorization.

821525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 821525760 is about 28662.2706706918. The cubic root of 821525760 is about 936.5703295985.

The spelling of 821525760 in words is "eight hundred twenty-one million, five hundred twenty-five thousand, seven hundred sixty".