820006313764 has 27 divisors (see below), whose sum is σ = 1577364516273. Its totient is φ = 372721087200.

The previous prime is 820006313747. The next prime is 820006313767. The reversal of 820006313764 is 467313600028.

The square root of 820006313764 is 905542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 589145283364 + 230861030400 = 767558^2 + 480480^2 .

It is a super-2 number, since 2×820006313764² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820006313767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19901344 + ... + 19942504.

Almost surely, 2^820006313764 is an apocalyptic number.

820006313764 is the 905542-nd square number.

It is an amenable number.

820006313764 is a deficient number, since it is larger than the sum of its proper divisors (757358202509).

820006313764 is an frugal number, since it uses more digits than its factorization.

820006313764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82348 (or 41174 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 820006313764 in words is "eight hundred twenty billion, six million, three hundred thirteen thousand, seven hundred sixty-four".