820240772 has 12 divisors (see below), whose sum is σ = 1545838476. Its totient is φ = 378572640.

The previous prime is 820240739. The next prime is 820240819. The reversal of 820240772 is 277042028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 334743616 + 485497156 = 18296^2 + 22034^2 .

It is an unprimeable number.

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, 7886879 + ... + 7886982.

It is an arithmetic number, because the mean of its divisors is an integer number (128819873).

Almost surely, 2^820240772 is an apocalyptic number.

It is an amenable number.

820240772 is a deficient number, since it is larger than the sum of its proper divisors (725597704).

820240772 is a wasteful number, since it uses less digits than its factorization.

820240772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773878 (or 15773876 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 820240772 is about 28639.8458794736. The cubic root of 820240772 is about 936.0817631962.

The spelling of 820240772 in words is "eight hundred twenty million, two hundred forty thousand, seven hundred seventy-two".