834238080 has 288 divisors, whose sum is σ = 3123008460. Its totient is φ = 205111296.

The previous prime is 834238079. The next prime is 834238103. The reversal of 834238080 is 80832438.

It is a happy number.

834238080 is a `hidden beast` number, since 83 + 423 + 80 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 250145856 + 584092224 = 15816^2 + 24168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973012 + ... + 973868.

Almost surely, 2^834238080 is an apocalyptic number.

834238080 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 834238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561504230).

834238080 is an abundant number, since it is smaller than the sum of its proper divisors (2288770380).

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

834238080 is a wasteful number, since it uses less digits than its factorization.

834238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 834238080 is about 28883.1798803387. The cubic root of 834238080 is about 941.3764653914.

The spelling of 834238080 in words is "eight hundred thirty-four million, two hundred thirty-eight thousand, eighty".