820035508772 has 12 divisors (see below), whose sum is σ = 1435071952860. Its totient is φ = 410014950816.

The previous prime is 820035508759. The next prime is 820035508793. The reversal of 820035508772 is 277805530028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 699387654436 + 120647854336 = 836294^2 + 347344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45554 + ... + 1281462.

It is an arithmetic number, because the mean of its divisors is an integer number (119589329405).

Almost surely, 2^820035508772 is an apocalyptic number.

It is an amenable number.

820035508772 is a deficient number, since it is larger than the sum of its proper divisors (615036444088).

820035508772 is a wasteful number, since it uses less digits than its factorization.

820035508772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401790 (or 1401788 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 820035508772 in words is "eight hundred twenty billion, thirty-five million, five hundred eight thousand, seven hundred seventy-two".