830448096 has 96 divisors (see below), whose sum is σ = 2351952288. Its totient is φ = 255590400.

The previous prime is 830448077. The next prime is 830448107. The reversal of 830448096 is 690844038.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81696 + ... + 91296.

It is an arithmetic number, because the mean of its divisors is an integer number (24499503).

Almost surely, 2^830448096 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 830448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175976144).

830448096 is an abundant number, since it is smaller than the sum of its proper divisors (1521504192).

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

830448096 is a wasteful number, since it uses less digits than its factorization.

830448096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 830448096 is about 28817.4963520428. The cubic root of 830448096 is about 939.9487281526.

The spelling of 830448096 in words is "eight hundred thirty million, four hundred forty-eight thousand, ninety-six".