834482880 has 672 divisors, whose sum is σ = 3697394688. Its totient is φ = 167731200.

The previous prime is 834482863. The next prime is 834482899. The reversal of 834482880 is 88284438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11753245 + ... + 11753315.

Almost surely, 2^834482880 is an apocalyptic number.

834482880 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 834482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848697344).

834482880 is an abundant number, since it is smaller than the sum of its proper divisors (2862911808).

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

834482880 is a wasteful number, since it uses less digits than its factorization.

834482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 834482880 is about 28887.4173300418. The cubic root of 834482880 is about 941.4685359992.

The spelling of 834482880 in words is "eight hundred thirty-four million, four hundred eighty-two thousand, eight hundred eighty".