821946720 has 192 divisors, whose sum is σ = 3028354560. Its totient is φ = 183472128.

The previous prime is 821946703. The next prime is 821946751. The reversal of 821946720 is 27649128.

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, 141636 + ... + 147324.

It is an arithmetic number, because the mean of its divisors is an integer number (15772680).

Almost surely, 2^821946720 is an apocalyptic number.

821946720 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 821946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514177280).

821946720 is an abundant number, since it is smaller than the sum of its proper divisors (2206407840).

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

821946720 is a wasteful number, since it uses less digits than its factorization.

821946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 821946720 is about 28669.6131819039. The cubic root of 821946720 is about 936.7302723714.

The spelling of 821946720 in words is "eight hundred twenty-one million, nine hundred forty-six thousand, seven hundred twenty".