820162772 has 48 divisors (see below), whose sum is σ = 1689206400. Its totient is φ = 343512960.

The previous prime is 820162741. The next prime is 820162787. The reversal of 820162772 is 277261028.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 479054 + ... + 480762.

It is an arithmetic number, because the mean of its divisors is an integer number (35191800).

Almost surely, 2^820162772 is an apocalyptic number.

It is an amenable number.

820162772 is an abundant number, since it is smaller than the sum of its proper divisors (869043628).

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

820162772 is a wasteful number, since it uses less digits than its factorization.

820162772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 820162772 is about 28638.4841079272. The cubic root of 820162772 is about 936.0520903267.

The spelling of 820162772 in words is "eight hundred twenty million, one hundred sixty-two thousand, seven hundred seventy-two".