820002816 has 180 divisors, whose sum is σ = 2433146352. Its totient is φ = 266010624.

The previous prime is 820002797. The next prime is 820002853. The reversal of 820002816 is 618200028.

It is a self number, because there is not a number n which added to its sum of digits gives 820002816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9879511 + ... + 9879593.

Almost surely, 2^820002816 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 820002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216573176).

820002816 is an abundant number, since it is smaller than the sum of its proper divisors (1613143536).

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

820002816 is an equidigital number, since it uses as much as digits as its factorization.

820002816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 820002816 is about 28635.6912960033. The cubic root of 820002816 is about 935.9912337553.

The spelling of 820002816 in words is "eight hundred twenty million, two thousand, eight hundred sixteen".