830025792 has 252 divisors, whose sum is σ = 2647015280. Its totient is φ = 257167872.

The previous prime is 830025767. The next prime is 830025821. The reversal of 830025792 is 297520038.

It is a happy number.

830025792 is a `hidden beast` number, since 83 + 0 + 0 + 2 + 579 + 2 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 15660838 + ... + 15660890.

Almost surely, 2^830025792 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 830025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323507640).

830025792 is an abundant number, since it is smaller than the sum of its proper divisors (1816989488).

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

830025792 is an equidigital number, since it uses as much as digits as its factorization.

830025792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 830025792 is about 28810.1682049932. The cubic root of 830025792 is about 939.7893718509.

The spelling of 830025792 in words is "eight hundred thirty million, twenty-five thousand, seven hundred ninety-two".