820820072 has 8 divisors (see below), whose sum is σ = 1539037650. Its totient is φ = 410410032.

The previous prime is 820820071. The next prime is 820820093. The reversal of 820820072 is 270028028.

It can be written as a sum of positive squares in only one way, i.e., 742780516 + 78039556 = 27254^2 + 8834^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (820820071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51301247 + ... + 51301262.

Almost surely, 2^820820072 is an apocalyptic number.

It is an amenable number.

820820072 is a deficient number, since it is larger than the sum of its proper divisors (718217578).

820820072 is a wasteful number, since it uses less digits than its factorization.

820820072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102602515 (or 102602511 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 820820072 is about 28649.9576264957. The cubic root of 820820072 is about 936.3020824703.

The spelling of 820820072 in words is "eight hundred twenty million, eight hundred twenty thousand, seventy-two".