820216752 has 20 divisors (see below), whose sum is σ = 2118893400. Its totient is φ = 273405568.

The previous prime is 820216729. The next prime is 820216759. The reversal of 820216752 is 257612028.

It is a super-2 number, since 2×820216752² = 1345511040522859008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820216759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8543877 + ... + 8543972.

It is an arithmetic number, because the mean of its divisors is an integer number (105944670).

Almost surely, 2^820216752 is an apocalyptic number.

It is an amenable number.

820216752 is an abundant number, since it is smaller than the sum of its proper divisors (1298676648).

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

820216752 is a wasteful number, since it uses less digits than its factorization.

820216752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087860 (or 17087854 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 820216752 is about 28639.4265305715. The cubic root of 820216752 is about 936.0726256745.

The spelling of 820216752 in words is "eight hundred twenty million, two hundred sixteen thousand, seven hundred fifty-two".