834032880 has 120 divisors (see below), whose sum is σ = 2815519200. Its totient is φ = 221253120.

The previous prime is 834032867. The next prime is 834032893. The reversal of 834032880 is 88230438.

It is a happy number.

834032880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (834032867) and next prime (834032893).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×834032880² = 1391221689842188800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140370 + ... + 146190.

It is an arithmetic number, because the mean of its divisors is an integer number (23462660).

Almost surely, 2^834032880 is an apocalyptic number.

834032880 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 834032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407759600).

834032880 is an abundant number, since it is smaller than the sum of its proper divisors (1981486320).

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

834032880 is a wasteful number, since it uses less digits than its factorization.

834032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 834032880 is about 28879.6274214194. The cubic root of 834032880 is about 941.2992746806.

The spelling of 834032880 in words is "eight hundred thirty-four million, thirty-two thousand, eight hundred eighty".