829360640 has 240 divisors, whose sum is σ = 2261239200. Its totient is φ = 290783232.

The previous prime is 829360633. The next prime is 829360663. The reversal of 829360640 is 46063928.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 829360594 and 829360603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14056931 + ... + 14056989.

It is an arithmetic number, because the mean of its divisors is an integer number (9421830).

Almost surely, 2^829360640 is an apocalyptic number.

829360640 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 829360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130619600).

829360640 is an abundant number, since it is smaller than the sum of its proper divisors (1431878560).

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

829360640 is a wasteful number, since it uses less digits than its factorization.

829360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 829360640 is about 28798.6221892645. The cubic root of 829360640 is about 939.5382672712.

The spelling of 829360640 in words is "eight hundred twenty-nine million, three hundred sixty thousand, six hundred forty".