830846449080 has 192 divisors, whose sum is σ = 2707136640000. Its totient is φ = 220994949888.

The previous prime is 830846449079. The next prime is 830846449087. The reversal of 830846449080 is 80944648038.

830846449080 is a `hidden beast` number, since 8 + 30 + 8 + 46 + 4 + 490 + 80 = 666.

830846449080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830846449087) 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, 307833571 + ... + 307836269.

It is an arithmetic number, because the mean of its divisors is an integer number (14099670000).

Almost surely, 2^830846449080 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 830846449080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353568320000).

830846449080 is an abundant number, since it is smaller than the sum of its proper divisors (1876290190920).

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

830846449080 is a wasteful number, since it uses less digits than its factorization.

830846449080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 830846449080 in words is "eight hundred thirty billion, eight hundred forty-six million, four hundred forty-nine thousand, eighty".