831214080 has 240 divisors, whose sum is σ = 2949186240. Its totient is φ = 216244224.

The previous prime is 831214073. The next prime is 831214081. The reversal of 831214080 is 80412138.

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

It is not an unprimeable number, because it can be changed into a prime (831214081) 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, 990301 + ... + 991139.

It is an arithmetic number, because the mean of its divisors is an integer number (12288276).

Almost surely, 2^831214080 is an apocalyptic number.

831214080 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 831214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474593120).

831214080 is an abundant number, since it is smaller than the sum of its proper divisors (2117972160).

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

831214080 is a wasteful number, since it uses less digits than its factorization.

831214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 831214080 is about 28830.7835481452. The cubic root of 831214080 is about 940.2376342014.

The spelling of 831214080 in words is "eight hundred thirty-one million, two hundred fourteen thousand, eighty".