830242080 has 144 divisors (see below), whose sum is σ = 2842729344. Its totient is φ = 220654080.

The previous prime is 830242037. The next prime is 830242081. The reversal of 830242080 is 80242038.

830242080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×830242080² = 1378603822805452800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830242081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527695 + ... + 529265.

It is an arithmetic number, because the mean of its divisors is an integer number (19741176).

Almost surely, 2^830242080 is an apocalyptic number.

830242080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421364672).

830242080 is an abundant number, since it is smaller than the sum of its proper divisors (2012487264).

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

830242080 is a wasteful number, since it uses less digits than its factorization.

830242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 830242080 is about 28813.9216352096. The cubic root of 830242080 is about 939.8709948207.

The spelling of 830242080 in words is "eight hundred thirty million, two hundred forty-two thousand, eighty".