830576880 has 240 divisors, whose sum is σ = 3206461440. Its totient is φ = 188739072.

The previous prime is 830576867. The next prime is 830576891. The reversal of 830576880 is 88675038.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is a congruent number.

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, 1123551 + ... + 1124289.

It is an arithmetic number, because the mean of its divisors is an integer number (13360256).

Almost surely, 2^830576880 is an apocalyptic number.

830576880 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 830576880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603230720).

830576880 is an abundant number, since it is smaller than the sum of its proper divisors (2375884560).

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

830576880 is a wasteful number, since it uses less digits than its factorization.

830576880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 830576880 is about 28819.7307412821. The cubic root of 830576880 is about 939.9973140107.

The spelling of 830576880 in words is "eight hundred thirty million, five hundred seventy-six thousand, eight hundred eighty".