830810880 has 216 divisors, whose sum is σ = 2946303360. Its totient is φ = 216023040.

The previous prime is 830810867. The next prime is 830810887. The reversal of 830810880 is 88018038.

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

It is not an unprimeable number, because it can be changed into a prime (830810887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471441 + ... + 473199.

Almost surely, 2^830810880 is an apocalyptic number.

830810880 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 830810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473151680).

830810880 is an abundant number, since it is smaller than the sum of its proper divisors (2115492480).

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

830810880 is a wasteful number, since it uses less digits than its factorization.

830810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 830810880 is about 28823.7901740906. The cubic root of 830810880 is about 940.0855814641.

The spelling of 830810880 in words is "eight hundred thirty million, eight hundred ten thousand, eight hundred eighty".