829468080 has 480 divisors, whose sum is σ = 3526649280. Its totient is φ = 178053120.

The previous prime is 829468069. The next prime is 829468141. The reversal of 829468080 is 80864928.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1799050 + ... + 1799510.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186).

Almost surely, 2^829468080 is an apocalyptic number.

829468080 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 829468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763324640).

829468080 is an abundant number, since it is smaller than the sum of its proper divisors (2697181200).

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

829468080 is a wasteful number, since it uses less digits than its factorization.

829468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 829468080 is about 28800.4874958741. The cubic root of 829468080 is about 939.5788365274.

The spelling of 829468080 in words is "eight hundred twenty-nine million, four hundred sixty-eight thousand, eighty".