834922080 has 240 divisors, whose sum is σ = 3075789024. Its totient is φ = 212889600.

The previous prime is 834922079. The next prime is 834922129. The reversal of 834922080 is 80229438.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296680 + ... + 299480.

Almost surely, 2^834922080 is an apocalyptic number.

834922080 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 834922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537894512).

834922080 is an abundant number, since it is smaller than the sum of its proper divisors (2240866944).

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

834922080 is a wasteful number, since it uses less digits than its factorization.

834922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 834922080 is about 28895.0182557478. The cubic root of 834922080 is about 941.6336763792.

The spelling of 834922080 in words is "eight hundred thirty-four million, nine hundred twenty-two thousand, eighty".