831738880 has 176 divisors, whose sum is σ = 2381725440. Its totient is φ = 272498688.

The previous prime is 831738877. The next prime is 831738893. The reversal of 831738880 is 88837138.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 831738880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823816 + ... + 824824.

Almost surely, 2^831738880 is an apocalyptic number.

831738880 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 831738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190862720).

831738880 is an abundant number, since it is smaller than the sum of its proper divisors (1549986560).

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

831738880 is a wasteful number, since it uses less digits than its factorization.

831738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 831738880 is about 28839.8834949103. The cubic root of 831738880 is about 940.4354704799.

The spelling of 831738880 in words is "eight hundred thirty-one million, seven hundred thirty-eight thousand, eight hundred eighty".