830758272 has 64 divisors (see below), whose sum is σ = 2227435200. Its totient is φ = 274317824.

The previous prime is 830758267. The next prime is 830758289. The reversal of 830758272 is 272857038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30979 + ... + 51197.

It is an arithmetic number, because the mean of its divisors is an integer number (34803675).

Almost surely, 2^830758272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113717600).

830758272 is an abundant number, since it is smaller than the sum of its proper divisors (1396676928).

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

830758272 is a wasteful number, since it uses less digits than its factorization.

830758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20343 (or 20331 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 830758272 is about 28822.8775801446. The cubic root of 830758272 is about 940.0657385744.

The spelling of 830758272 in words is "eight hundred thirty million, seven hundred fifty-eight thousand, two hundred seventy-two".