830306417820 has 384 divisors, whose sum is σ = 2728145387520. Its totient is φ = 186551424000.

The previous prime is 830306417803. The next prime is 830306417833. The reversal of 830306417820 is 28714603038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146100699 + ... + 146106381.

It is an arithmetic number, because the mean of its divisors is an integer number (7104545280).

Almost surely, 2^830306417820 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 830306417820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364072693760).

830306417820 is an abundant number, since it is smaller than the sum of its proper divisors (1897838969700).

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

830306417820 is a wasteful number, since it uses less digits than its factorization.

830306417820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 830306417820 in words is "eight hundred thirty billion, three hundred six million, four hundred seventeen thousand, eight hundred twenty".