834516480 has 480 divisors, whose sum is σ = 3292717824. Its totient is φ = 176504832.

The previous prime is 834516427. The next prime is 834516481. The reversal of 834516480 is 84615438.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834516481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19407339 + ... + 19407381.

Almost surely, 2^834516480 is an apocalyptic number.

834516480 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 834516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646358912).

834516480 is an abundant number, since it is smaller than the sum of its proper divisors (2458201344).

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

834516480 is a wasteful number, since it uses less digits than its factorization.

834516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 834516480 is about 28887.9988922736. The cubic root of 834516480 is about 941.4811717360.

The spelling of 834516480 in words is "eight hundred thirty-four million, five hundred sixteen thousand, four hundred eighty".