831367680 has 320 divisors, whose sum is σ = 3126549888. Its totient is φ = 185794560.

The previous prime is 831367661. The next prime is 831367709. The reversal of 831367680 is 86763138.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097862 + ... + 1098618.

Almost surely, 2^831367680 is an apocalyptic number.

831367680 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 831367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563274944).

831367680 is an abundant number, since it is smaller than the sum of its proper divisors (2295182208).

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

831367680 is a wasteful number, since it uses less digits than its factorization.

831367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 831367680 is about 28833.4472444763. The cubic root of 831367680 is about 940.2955461197.

It can be divided in two parts, 831 and 367680, that added together give a triangular number (368511 = T₈₅₈).

The spelling of 831367680 in words is "eight hundred thirty-one million, three hundred sixty-seven thousand, six hundred eighty".