830505320448 has 768 divisors, whose sum is σ = 2595865466880. Its totient is φ = 235300454400.

The previous prime is 830505320443. The next prime is 830505320467. The reversal of 830505320448 is 844023505038.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830505320443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20256227308 + ... + 20256227348.

It is an arithmetic number, because the mean of its divisors is an integer number (3380033160).

Almost surely, 2^830505320448 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 830505320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297932733440).

830505320448 is an abundant number, since it is smaller than the sum of its proper divisors (1765360146432).

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

830505320448 is a wasteful number, since it uses less digits than its factorization.

830505320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 830505320448 in words is "eight hundred thirty billion, five hundred five million, three hundred twenty thousand, four hundred forty-eight".