829800384 has 56 divisors (see below), whose sum is σ = 2509162368. Its totient is φ = 237085440.

The previous prime is 829800373. The next prime is 829800397. The reversal of 829800384 is 483008928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 307362 + ... + 310049.

Almost surely, 2^829800384 is an apocalyptic number.

829800384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

829800384 is an abundant number, since it is smaller than the sum of its proper divisors (1679361984).

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

829800384 is a wasteful number, since it uses less digits than its factorization.

829800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617433 (or 617423 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 829800384 is about 28806.2559871983. The cubic root of 829800384 is about 939.7042920764.

The spelling of 829800384 in words is "eight hundred twenty-nine million, eight hundred thousand, three hundred eighty-four".