856830080 has 128 divisors (see below), whose sum is σ = 2226700800. Its totient is φ = 314081280.

The previous prime is 856830047. The next prime is 856830089. The reversal of 856830080 is 80038658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (856830089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375824 + ... + 378096.

It is an arithmetic number, because the mean of its divisors is an integer number (17396100).

Almost surely, 2^856830080 is an apocalyptic number.

856830080 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 856830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113350400).

856830080 is an abundant number, since it is smaller than the sum of its proper divisors (1369870720).

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

856830080 is a wasteful number, since it uses less digits than its factorization.

856830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 856830080 is about 29271.6600144235. The cubic root of 856830080 is about 949.7986941882.

The spelling of 856830080 in words is "eight hundred fifty-six million, eight hundred thirty thousand, eighty".