834788160 has 224 divisors, whose sum is σ = 3002158080. Its totient is φ = 218290176.

The previous prime is 834788153. The next prime is 834788183. The reversal of 834788160 is 61887438.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 457009 + ... + 458831.

Almost surely, 2^834788160 is an apocalyptic number.

834788160 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 834788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501079040).

834788160 is an abundant number, since it is smaller than the sum of its proper divisors (2167369920).

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

834788160 is a wasteful number, since it uses less digits than its factorization.

834788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 834788160 is about 28892.7008083357. The cubic root of 834788160 is about 941.5833282378.

The spelling of 834788160 in words is "eight hundred thirty-four million, seven hundred eighty-eight thousand, one hundred sixty".