829679760 has 720 divisors, whose sum is σ = 3673889856. Its totient is φ = 172440576.

The previous prime is 829679737. The next prime is 829679761. The reversal of 829679760 is 67976928.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 829679697 and 829679706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829679761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12383247 + ... + 12383313.

Almost surely, 2^829679760 is an apocalyptic number.

829679760 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 829679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836944928).

829679760 is an abundant number, since it is smaller than the sum of its proper divisors (2844210096).

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

829679760 is a wasteful number, since it uses less digits than its factorization.

829679760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 829679760 is about 28804.1621992378. The cubic root of 829679760 is about 939.6587564731.

The spelling of 829679760 in words is "eight hundred twenty-nine million, six hundred seventy-nine thousand, seven hundred sixty".