830370528 has 240 divisors, whose sum is σ = 2770503120. Its totient is φ = 241864704.

The previous prime is 830370521. The next prime is 830370553. The reversal of 830370528 is 825073038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 830370492 and 830370501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830370521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 639576 + ... + 640872.

It is an arithmetic number, because the mean of its divisors is an integer number (11543763).

Almost surely, 2^830370528 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 830370528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385251560).

830370528 is an abundant number, since it is smaller than the sum of its proper divisors (1940132592).

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

830370528 is a wasteful number, since it uses less digits than its factorization.

830370528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 830370528 is about 28816.1504715672. The cubic root of 830370528 is about 939.9194619394.

The spelling of 830370528 in words is "eight hundred thirty million, three hundred seventy thousand, five hundred twenty-eight".