880830106560 has 840 divisors, whose sum is σ = 3386531514960. Its totient is φ = 217215074304.

The previous prime is 880830106547. The next prime is 880830106561. The reversal of 880830106560 is 65601038088.

880830106560 is a `hidden beast` number, since 8 + 8 + 0 + 83 + 0 + 1 + 0 + 6 + 560 = 666.

It is a super-3 number, since 3×880830106560³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880830106561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 441960924 + ... + 441962916.

Almost surely, 2^880830106560 is an apocalyptic number.

880830106560 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 880830106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693265757480).

880830106560 is an abundant number, since it is smaller than the sum of its proper divisors (2505701408400).

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

880830106560 is a wasteful number, since it uses less digits than its factorization.

880830106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 880830106560 in words is "eight hundred eighty billion, eight hundred thirty million, one hundred six thousand, five hundred sixty".