830053000 has 192 divisors, whose sum is σ = 2366582400. Its totient is φ = 266198400.

The previous prime is 830052989. The next prime is 830053013. The reversal of 830053000 is 350038.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10506961 + ... + 10507039.

It is an arithmetic number, because the mean of its divisors is an integer number (12325950).

Almost surely, 2^830053000 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 830053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183291200).

830053000 is an abundant number, since it is smaller than the sum of its proper divisors (1536529400).

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

830053000 is a wasteful number, since it uses less digits than its factorization.

830053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 830053000 is about 28810.6403955205. The cubic root of 830053000 is about 939.7996404112.

The spelling of 830053000 in words is "eight hundred thirty million, fifty-three thousand".