834455880 has 192 divisors, whose sum is σ = 2921443200. Its totient is φ = 205793280.

The previous prime is 834455879. The next prime is 834455917. The reversal of 834455880 is 88554438.

834455880 is a `hidden beast` number, since 83 + 445 + 58 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 359925 + ... + 362235.

It is an arithmetic number, because the mean of its divisors is an integer number (15215850).

Almost surely, 2^834455880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834455880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460721600).

834455880 is an abundant number, since it is smaller than the sum of its proper divisors (2086987320).

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

834455880 is a wasteful number, since it uses less digits than its factorization.

834455880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 834455880 is about 28886.9499947641. The cubic root of 834455880 is about 941.4583820363.

The spelling of 834455880 in words is "eight hundred thirty-four million, four hundred fifty-five thousand, eight hundred eighty".