830428745280 has 224 divisors, whose sum is σ = 2658226636800. Its totient is φ = 219635447808.

The previous prime is 830428745213. The next prime is 830428745303. The reversal of 830428745280 is 82547824038.

It is a super-2 number, since 2×830428745280² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167998489 + ... + 168003431.

It is an arithmetic number, because the mean of its divisors is an integer number (11867083200).

Almost surely, 2^830428745280 is an apocalyptic number.

830428745280 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 830428745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329113318400).

830428745280 is an abundant number, since it is smaller than the sum of its proper divisors (1827797891520).

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

830428745280 is a wasteful number, since it uses less digits than its factorization.

830428745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 830428745280 in words is "eight hundred thirty billion, four hundred twenty-eight million, seven hundred forty-five thousand, two hundred eighty".