820735002 has 24 divisors (see below), whose sum is σ = 1779937536. Its totient is φ = 273320136.

The previous prime is 820734997. The next prime is 820735049. The reversal of 820735002 is 200537028.

820735002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1408 + ... + 40539.

It is an arithmetic number, because the mean of its divisors is an integer number (74164064).

Almost surely, 2^820735002 is an apocalyptic number.

820735002 is an abundant number, since it is smaller than the sum of its proper divisors (959202534).

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

820735002 is a wasteful number, since it uses less digits than its factorization.

820735002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43042 (or 43039 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 820735002 is about 28648.4729435968. The cubic root of 820735002 is about 936.2697351579.

The spelling of 820735002 in words is "eight hundred twenty million, seven hundred thirty-five thousand, two".