829340400 has 120 divisors (see below), whose sum is σ = 3036206464. Its totient is φ = 189561600.

The previous prime is 829340387. The next prime is 829340419. The reversal of 829340400 is 4043928.

It is a happy number.

829340400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 40966 + ... + 57765.

Almost surely, 2^829340400 is an apocalyptic number.

829340400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829340400 is an abundant number, since it is smaller than the sum of its proper divisors (2206866064).

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

829340400 is a wasteful number, since it uses less digits than its factorization.

829340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98759 (or 98748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 829340400 is about 28798.2707814202. The cubic root of 829340400 is about 939.5306242716.

The spelling of 829340400 in words is "eight hundred twenty-nine million, three hundred forty thousand, four hundred".