829360272 has 40 divisors (see below), whose sum is σ = 2307324544. Its totient is φ = 255187584.

The previous prime is 829360253. The next prime is 829360297. The reversal of 829360272 is 272063928.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 829360272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663928 + ... + 665175.

Almost surely, 2^829360272 is an apocalyptic number.

It is an amenable number.

829360272 is an abundant number, since it is smaller than the sum of its proper divisors (1477964272).

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

829360272 is a wasteful number, since it uses less digits than its factorization.

829360272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329127 (or 1329121 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 829360272 is about 28798.6158000693. The cubic root of 829360272 is about 939.5381283087.

The spelling of 829360272 in words is "eight hundred twenty-nine million, three hundred sixty thousand, two hundred seventy-two".