834314880 has 256 divisors, whose sum is σ = 3172608000. Its totient is φ = 182341632.

The previous prime is 834314879. The next prime is 834314927. The reversal of 834314880 is 88413438.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307771 + ... + 310469.

It is an arithmetic number, because the mean of its divisors is an integer number (12393000).

Almost surely, 2^834314880 is an apocalyptic number.

834314880 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 834314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586304000).

834314880 is an abundant number, since it is smaller than the sum of its proper divisors (2338293120).

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

834314880 is a wasteful number, since it uses less digits than its factorization.

834314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 834314880 is about 28884.5093432449. The cubic root of 834314880 is about 941.4053522267.

The spelling of 834314880 in words is "eight hundred thirty-four million, three hundred fourteen thousand, eight hundred eighty".