821677320 has 384 divisors, whose sum is σ = 3008378880. Its totient is φ = 193536000.

The previous prime is 821677301. The next prime is 821677321. The reversal of 821677320 is 23776128.

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

It is not an unprimeable number, because it can be changed into a prime (821677321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11572885 + ... + 11572955.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^821677320 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 821677320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504189440).

821677320 is an abundant number, since it is smaller than the sum of its proper divisors (2186701560).

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

821677320 is a wasteful number, since it uses less digits than its factorization.

821677320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 821677320 is about 28664.9144425725. The cubic root of 821677320 is about 936.6279207612.

The spelling of 821677320 in words is "eight hundred twenty-one million, six hundred seventy-seven thousand, three hundred twenty".