834054400 has 135 divisors (see below), whose sum is σ = 2179103801. Its totient is φ = 316062720.

The previous prime is 834054367. The next prime is 834054401. The reversal of 834054400 is 4450438.

The square root of 834054400 is 28880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 300259584 + 533794816 = 17328^2 + 23104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (834054401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 43897591 + ... + 43897609.

Almost surely, 2^834054400 is an apocalyptic number.

834054400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

834054400 is the 28880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834054400

834054400 is an abundant number, since it is smaller than the sum of its proper divisors (1345049401).

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

834054400 is an frugal number, since it uses more digits than its factorization.

834054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The cubic root of 834054400 is about 941.3073705189.

The spelling of 834054400 in words is "eight hundred thirty-four million, fifty-four thousand, four hundred".