830750983172208 has 1920 divisors, whose sum is σ = 3027678787584000. Its totient is φ = 216747300833280.

The previous prime is 830750983172153. The next prime is 830750983172221. The reversal of 830750983172208 is 802271389057038.

830750983172208 is a `hidden beast` number, since 8 + 3 + 0 + 7 + 5 + 0 + 98 + 317 + 220 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 331902109485 + ... + 331902111987.

It is an arithmetic number, because the mean of its divisors is an integer number (1576916035200).

Almost surely, 2^{830750983172208} 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 830750983172208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513839393792000).

830750983172208 is an abundant number, since it is smaller than the sum of its proper divisors (2196927804411792).

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

830750983172208 is a wasteful number, since it uses less digits than its factorization.

830750983172208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 830750983172208 in words is "eight hundred thirty trillion, seven hundred fifty billion, nine hundred eighty-three million, one hundred seventy-two thousand, two hundred eight".