831732480 has 432 divisors, whose sum is σ = 3168232704. Its totient is φ = 200540160.

The previous prime is 831732479. The next prime is 831732481. The reversal of 831732480 is 84237138.

831732480 is a `hidden beast` number, since 8 + 3 + 173 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (831732479) and next prime (831732481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831732481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6070972 + ... + 6071108.

It is an arithmetic number, because the mean of its divisors is an integer number (7333872).

Almost surely, 2^831732480 is an apocalyptic number.

831732480 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 831732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584116352).

831732480 is an abundant number, since it is smaller than the sum of its proper divisors (2336500224).

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

831732480 is a wasteful number, since it uses less digits than its factorization.

831732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 831732480 is about 28839.7725372445. The cubic root of 831732480 is about 940.4330583436.

The spelling of 831732480 in words is "eight hundred thirty-one million, seven hundred thirty-two thousand, four hundred eighty".