834805440 has 560 divisors, whose sum is σ = 3505151232. Its totient is φ = 184633344.

The previous prime is 834805373. The next prime is 834805441. The reversal of 834805440 is 44508438.

834805440 is a `hidden beast` number, since 8 + 34 + 80 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 834805395 and 834805404.

It is not an unprimeable number, because it can be changed into a prime (834805441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7801867 + ... + 7801973.

Almost surely, 2^834805440 is an apocalyptic number.

834805440 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 834805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752575616).

834805440 is an abundant number, since it is smaller than the sum of its proper divisors (2670345792).

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

834805440 is a wasteful number, since it uses less digits than its factorization.

834805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 834805440 is about 28892.9998442529. Note that the first 3 decimals coincide. The cubic root of 834805440 is about 941.5898250748.

The spelling of 834805440 in words is "eight hundred thirty-four million, eight hundred five thousand, four hundred forty".