819816272 has 20 divisors (see below), whose sum is σ = 1732793856. Its totient is φ = 372643680.

The previous prime is 819816251. The next prime is 819816281. The reversal of 819816272 is 272618918.

819816272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 2328848 + ... + 2329199.

Almost surely, 2^819816272 is an apocalyptic number.

It is an amenable number.

819816272 is an abundant number, since it is smaller than the sum of its proper divisors (912977584).

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

819816272 is a wasteful number, since it uses less digits than its factorization.

819816272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658066 (or 4658060 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The square root of 819816272 is about 28632.4339168014. The cubic root of 819816272 is about 935.9202515638.

The spelling of 819816272 in words is "eight hundred nineteen million, eight hundred sixteen thousand, two hundred seventy-two".