829088716960 has 96 divisors (see below), whose sum is σ = 2335867414272. Its totient is φ = 271899893760.

The previous prime is 829088716927. The next prime is 829088716961. The reversal of 829088716960 is 69617880928.

It is a junction number, because it is equal to n+sod(n) for n = 829088716892 and 829088716901.

It is not an unprimeable number, because it can be changed into a prime (829088716961) 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, 16066801 + ... + 16118320.

It is an arithmetic number, because the mean of its divisors is an integer number (24331952232).

Almost surely, 2^829088716960 is an apocalyptic number.

829088716960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829088716960 is an abundant number, since it is smaller than the sum of its proper divisors (1506778697312).

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

829088716960 is a wasteful number, since it uses less digits than its factorization.

829088716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32185166 (or 32185158 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

The spelling of 829088716960 in words is "eight hundred twenty-nine billion, eighty-eight million, seven hundred sixteen thousand, nine hundred sixty".