820352816 has 80 divisors (see below), whose sum is σ = 1783323360. Its totient is φ = 363294720.

The previous prime is 820352791. The next prime is 820352837. The reversal of 820352816 is 618253028.

It is a super-3 number, since 3×820352816³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934970 + ... + 935846.

It is an arithmetic number, because the mean of its divisors is an integer number (22291542).

Almost surely, 2^820352816 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 820352816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891661680).

820352816 is an abundant number, since it is smaller than the sum of its proper divisors (962970544).

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

820352816 is a wasteful number, since it uses less digits than its factorization.

820352816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 820352816 is about 28641.8018986236. The cubic root of 820352816 is about 936.1243838402.

The spelling of 820352816 in words is "eight hundred twenty million, three hundred fifty-two thousand, eight hundred sixteen".