829340640 has 96 divisors (see below), whose sum is σ = 2902707360. Its totient is φ = 221156352.

The previous prime is 829340627. The next prime is 829340651. The reversal of 829340640 is 46043928.

It is a happy number.

829340640 is a `hidden beast` number, since 8 + 2 + 9 + 3 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 829340595 and 829340604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91669 + ... + 100308.

It is an arithmetic number, because the mean of its divisors is an integer number (30236535).

Almost surely, 2^829340640 is an apocalyptic number.

829340640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829340640 is an abundant number, since it is smaller than the sum of its proper divisors (2073366720).

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

829340640 is a wasteful number, since it uses less digits than its factorization.

829340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192001 (or 191987 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 829340640 is about 28798.2749483367. The cubic root of 829340640 is about 939.5307149008.

The spelling of 829340640 in words is "eight hundred twenty-nine million, three hundred forty thousand, six hundred forty".