834760080 has 600 divisors, whose sum is σ = 3694584960. Its totient is φ = 172730880.

The previous prime is 834760049. The next prime is 834760093. The reversal of 834760080 is 80067438.

834760080 is a `hidden beast` number, since 8 + 3 + 47 + 600 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3492601 + ... + 3492839.

Almost surely, 2^834760080 is an apocalyptic number.

834760080 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 834760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847292480).

834760080 is an abundant number, since it is smaller than the sum of its proper divisors (2859824880).

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

834760080 is a wasteful number, since it uses less digits than its factorization.

834760080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 834760080 is about 28892.2148683690. The cubic root of 834760080 is about 941.5727706866.

The spelling of 834760080 in words is "eight hundred thirty-four million, seven hundred sixty thousand, eighty".