834727680 has 360 divisors, whose sum is σ = 3053956752. Its totient is φ = 217645056.

The previous prime is 834727637. The next prime is 834727681. The reversal of 834727680 is 86727438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834727681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8605392 + ... + 8605488.

Almost surely, 2^834727680 is an apocalyptic number.

834727680 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 834727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526978376).

834727680 is an abundant number, since it is smaller than the sum of its proper divisors (2219229072).

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

834727680 is an equidigital number, since it uses as much as digits as its factorization.

834727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 834727680 is about 28891.6541582513. The cubic root of 834727680 is about 941.5605886025.

The spelling of 834727680 in words is "eight hundred thirty-four million, seven hundred twenty-seven thousand, six hundred eighty".