829115280 has 360 divisors, whose sum is σ = 3294592704. Its totient is φ = 186278400.

The previous prime is 829115257. The next prime is 829115281. The reversal of 829115280 is 82511928.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (829115281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2504715 + ... + 2505045.

Almost surely, 2^829115280 is an apocalyptic number.

829115280 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 829115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647296352).

829115280 is an abundant number, since it is smaller than the sum of its proper divisors (2465477424).

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

829115280 is a wasteful number, since it uses less digits than its factorization.

829115280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 829115280 is about 28794.3619481314. The cubic root of 829115280 is about 939.4456063969.

The spelling of 829115280 in words is "eight hundred twenty-nine million, one hundred fifteen thousand, two hundred eighty".