830708480 has 288 divisors, whose sum is σ = 2472422400. Its totient is φ = 261144576.

The previous prime is 830708471. The next prime is 830708491. The reversal of 830708480 is 84807038.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5976251 + ... + 5976389.

It is an arithmetic number, because the mean of its divisors is an integer number (8584800).

Almost surely, 2^830708480 is an apocalyptic number.

830708480 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 830708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236211200).

830708480 is an abundant number, since it is smaller than the sum of its proper divisors (1641713920).

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

830708480 is a wasteful number, since it uses less digits than its factorization.

830708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 830708480 is about 28822.0138088927. The cubic root of 830708480 is about 940.0469570627.

The spelling of 830708480 in words is "eight hundred thirty million, seven hundred eight thousand, four hundred eighty".