834090400 has 288 divisors, whose sum is σ = 2504089728. Its totient is φ = 266956800.

The previous prime is 834090379. The next prime is 834090401. The reversal of 834090400 is 4090438.

834090400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834090401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631042 + ... + 2631358.

It is an arithmetic number, because the mean of its divisors is an integer number (8694756).

Almost surely, 2^834090400 is an apocalyptic number.

834090400 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 834090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252044864).

834090400 is an abundant number, since it is smaller than the sum of its proper divisors (1669999328).

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

834090400 is a wasteful number, since it uses less digits than its factorization.

834090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 834090400 is about 28880.6232619727. The cubic root of 834090400 is about 941.3209134316.

The spelling of 834090400 in words is "eight hundred thirty-four million, ninety thousand, four hundred".