830784096 has 72 divisors (see below), whose sum is σ = 2379653640. Its totient is φ = 274922496.

The previous prime is 830784077. The next prime is 830784109. The reversal of 830784096 is 690487038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×830784096³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29656 + ... + 50408.

It is an arithmetic number, because the mean of its divisors is an integer number (33050745).

Almost surely, 2^830784096 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 830784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189826820).

830784096 is an abundant number, since it is smaller than the sum of its proper divisors (1548869544).

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

830784096 is a wasteful number, since it uses less digits than its factorization.

830784096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20908 (or 20897 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 830784096 is about 28823.3255541410. The cubic root of 830784096 is about 940.0754790757.

The spelling of 830784096 in words is "eight hundred thirty million, seven hundred eighty-four thousand, ninety-six".