830727552 has 128 divisors (see below), whose sum is σ = 2306995200. Its totient is φ = 264591360.

The previous prime is 830727551. The next prime is 830727577. The reversal of 830727552 is 255727038.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 830727552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830727551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837777 + ... + 838767.

It is an arithmetic number, because the mean of its divisors is an integer number (18023400).

Almost surely, 2^830727552 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 830727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153497600).

830727552 is an abundant number, since it is smaller than the sum of its proper divisors (1476267648).

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

830727552 is a wasteful number, since it uses less digits than its factorization.

830727552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 830727552 is about 28822.3446652072. The cubic root of 830727552 is about 940.0541510980.

The spelling of 830727552 in words is "eight hundred thirty million, seven hundred twenty-seven thousand, five hundred fifty-two".