830818560 has 576 divisors, whose sum is σ = 3337770240. Its totient is φ = 173015040.

The previous prime is 830818519. The next prime is 830818561. The reversal of 830818560 is 65818038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (830818561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9334996 + ... + 9335084.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^830818560 is an apocalyptic number.

830818560 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 830818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668885120).

830818560 is an abundant number, since it is smaller than the sum of its proper divisors (2506951680).

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

830818560 is a wasteful number, since it uses less digits than its factorization.

830818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 830818560 is about 28823.9233970672. The cubic root of 830818560 is about 940.0884781663.

The spelling of 830818560 in words is "eight hundred thirty million, eight hundred eighteen thousand, five hundred sixty".