830382000 has 320 divisors, whose sum is σ = 3242363904. Its totient is φ = 178483200.

The previous prime is 830381963. The next prime is 830382029. The reversal of 830382000 is 283038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713419 + ... + 714581.

Almost surely, 2^830382000 is an apocalyptic number.

830382000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621181952).

830382000 is an abundant number, since it is smaller than the sum of its proper divisors (2411981904).

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

830382000 is a wasteful number, since it uses less digits than its factorization.

830382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 830382000 is about 28816.3495259202. The cubic root of 830382000 is about 939.9237904113.

The spelling of 830382000 in words is "eight hundred thirty million, three hundred eighty-two thousand".