830123873280 has 880 divisors, whose sum is σ = 3235703708160. Its totient is φ = 202287808512.

The previous prime is 830123873273. The next prime is 830123873303. The reversal of 830123873280 is 82378321038.

830123873280 is a `hidden beast` number, since 8 + 301 + 238 + 7 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 576874801 + ... + 576876239.

It is an arithmetic number, because the mean of its divisors is an integer number (3676936032).

Almost surely, 2^830123873280 is an apocalyptic number.

830123873280 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 830123873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617851854080).

830123873280 is an abundant number, since it is smaller than the sum of its proper divisors (2405579834880).

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

830123873280 is a wasteful number, since it uses less digits than its factorization.

830123873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 830123873280 in words is "eight hundred thirty billion, one hundred twenty-three million, eight hundred seventy-three thousand, two hundred eighty".