831682080 has 144 divisors (see below), whose sum is σ = 2943368064. Its totient is φ = 221771520.

The previous prime is 831682073. The next prime is 831682081. The reversal of 831682080 is 80286138.

It is a tau number, because it is divible by the number of its divisors (144).

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 (831682081) 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, 28185 + ... + 49575.

It is an arithmetic number, because the mean of its divisors is an integer number (20440056).

Almost surely, 2^831682080 is an apocalyptic number.

831682080 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 831682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471684032).

831682080 is an abundant number, since it is smaller than the sum of its proper divisors (2111685984).

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

831682080 is a wasteful number, since it uses less digits than its factorization.

831682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21421 (or 21401 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 831682080 is about 28838.8987307075. The cubic root of 831682080 is about 940.4140623384.

The spelling of 831682080 in words is "eight hundred thirty-one million, six hundred eighty-two thousand, eighty".