830941200 has 240 divisors, whose sum is σ = 3022306560. Its totient is φ = 216737280.

The previous prime is 830941157. The next prime is 830941211. The reversal of 830941200 is 2149038.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 506782 + ... + 508418.

It is an arithmetic number, because the mean of its divisors is an integer number (12592944).

Almost surely, 2^830941200 is an apocalyptic number.

830941200 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 830941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511153280).

830941200 is an abundant number, since it is smaller than the sum of its proper divisors (2191365360).

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

830941200 is a wasteful number, since it uses less digits than its factorization.

830941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 830941200 is about 28826.0507180571. The cubic root of 830941200 is about 940.1347324606.

The spelling of 830941200 in words is "eight hundred thirty million, nine hundred forty-one thousand, two hundred".