834769800 has 180 divisors, whose sum is σ = 2912107605. Its totient is φ = 221624640.

The previous prime is 834769757. The next prime is 834769801. The reversal of 834769800 is 8967438.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 818074404 + 16695396 = 28602^2 + 4086^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20430.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (834769801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3677287 + ... + 3677513.

Almost surely, 2^834769800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834769800

834769800 is an abundant number, since it is smaller than the sum of its proper divisors (2077337805).

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

834769800 is a wasteful number, since it uses less digits than its factorization.

834769800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 834769800 is about 28892.3830792823. The cubic root of 834769800 is about 941.5764252504.

The spelling of 834769800 in words is "eight hundred thirty-four million, seven hundred sixty-nine thousand, eight hundred".