829992960 has 416 divisors, whose sum is σ = 3145344000. Its totient is φ = 207028224.

The previous prime is 829992953. The next prime is 829992967. The reversal of 829992960 is 69299928.

It is an interprime number because it is at equal distance from previous prime (829992953) and next prime (829992967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 829992897 and 829992906.

It is not an unprimeable number, because it can be changed into a prime (829992967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506201 + ... + 10506279.

Almost surely, 2^829992960 is an apocalyptic number.

829992960 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 829992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572672000).

829992960 is an abundant number, since it is smaller than the sum of its proper divisors (2315351040).

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

829992960 is a wasteful number, since it uses less digits than its factorization.

829992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 829992960 is about 28809.5984005331. The cubic root of 829992960 is about 939.7769804401.

The spelling of 829992960 in words is "eight hundred twenty-nine million, nine hundred ninety-two thousand, nine hundred sixty".