829450108080 has 480 divisors, whose sum is σ = 3119488339968. Its totient is φ = 195784243200.

The previous prime is 829450108021. The next prime is 829450108111. The reversal of 829450108080 is 80801054928.

It is a happy number.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 73325625 + ... + 73336935.

Almost surely, 2^829450108080 is an apocalyptic number.

829450108080 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 829450108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559744169984).

829450108080 is an abundant number, since it is smaller than the sum of its proper divisors (2290038231888).

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

829450108080 is a wasteful number, since it uses less digits than its factorization.

829450108080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11576 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 829450108080 in words is "eight hundred twenty-nine billion, four hundred fifty million, one hundred eight thousand, eighty".