831383680 has 64 divisors (see below), whose sum is σ = 1998785880. Its totient is φ = 330670080.

The previous prime is 831383653. The next prime is 831383681. The reversal of 831383680 is 86383138.

It can be written as a sum of positive squares in 4 ways, for example, as 610682944 + 220700736 = 24712^2 + 14856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×831383680⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (831383681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112252 + ... + 119428.

Almost surely, 2^831383680 is an apocalyptic number.

831383680 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 831383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999392940).

831383680 is an abundant number, since it is smaller than the sum of its proper divisors (1167402200).

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

831383680 is a wasteful number, since it uses less digits than its factorization.

831383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 831383680 is about 28833.7246986927. The cubic root of 831383680 is about 940.3015782010.

The spelling of 831383680 in words is "eight hundred thirty-one million, three hundred eighty-three thousand, six hundred eighty".