821610752 has 72 divisors (see below), whose sum is σ = 1700084736. Its totient is φ = 395974656.

The previous prime is 821610737. The next prime is 821610817. The reversal of 821610752 is 257016128.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202603 + ... + 1203285.

It is an arithmetic number, because the mean of its divisors is an integer number (23612288).

Almost surely, 2^821610752 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 821610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850042368).

821610752 is an abundant number, since it is smaller than the sum of its proper divisors (878473984).

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

821610752 is a wasteful number, since it uses less digits than its factorization.

821610752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 821610752 is about 28663.7532783130. The cubic root of 821610752 is about 936.6026265126.

The spelling of 821610752 in words is "eight hundred twenty-one million, six hundred ten thousand, seven hundred fifty-two".