831540480 has 144 divisors (see below), whose sum is σ = 2688759360. Its totient is φ = 218988544.

The previous prime is 831540473. The next prime is 831540481. The reversal of 831540480 is 84045138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831540481) 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, 317416 + ... + 320024.

It is an arithmetic number, because the mean of its divisors is an integer number (18671940).

Almost surely, 2^831540480 is an apocalyptic number.

831540480 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 831540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344379680).

831540480 is an abundant number, since it is smaller than the sum of its proper divisors (1857218880).

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

831540480 is a wasteful number, since it uses less digits than its factorization.

831540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 831540480 is about 28836.4436087393. The cubic root of 831540480 is about 940.3606885023.

The spelling of 831540480 in words is "eight hundred thirty-one million, five hundred forty thousand, four hundred eighty".