829797696 has 280 divisors, whose sum is σ = 3029143040. Its totient is φ = 218723328.

The previous prime is 829797691. The next prime is 829797757. The reversal of 829797696 is 696797928.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829797691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 470865 + ... + 472623.

It is an arithmetic number, because the mean of its divisors is an integer number (10818368).

Almost surely, 2^829797696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514571520).

829797696 is an abundant number, since it is smaller than the sum of its proper divisors (2199345344).

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

829797696 is a wasteful number, since it uses less digits than its factorization.

829797696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1784 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 829797696 is about 28806.2093306287. The cubic root of 829797696 is about 939.7032774035.

The spelling of 829797696 in words is "eight hundred twenty-nine million, seven hundred ninety-seven thousand, six hundred ninety-six".