829206480 has 80 divisors (see below), whose sum is σ = 2576263680. Its totient is φ = 220629504.

The previous prime is 829206463. The next prime is 829206487. The reversal of 829206480 is 84602928.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829206487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111354 + ... + 118566.

It is an arithmetic number, because the mean of its divisors is an integer number (32203296).

Almost surely, 2^829206480 is an apocalyptic number.

829206480 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 829206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288131840).

829206480 is an abundant number, since it is smaller than the sum of its proper divisors (1747057200).

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

829206480 is a wasteful number, since it uses less digits than its factorization.

829206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 829206480 is about 28795.9455479413. The cubic root of 829206480 is about 939.4800504604.

The spelling of 829206480 in words is "eight hundred twenty-nine million, two hundred six thousand, four hundred eighty".