831242880 has 384 divisors, whose sum is σ = 3278031120. Its totient is φ = 192282624.

The previous prime is 831242843. The next prime is 831242891. The reversal of 831242880 is 88242138.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 209438784 + 621804096 = 14472^2 + 24936^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 1272634 + ... + 1273286.

Almost surely, 2^831242880 is an apocalyptic number.

831242880 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 831242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639015560).

831242880 is an abundant number, since it is smaller than the sum of its proper divisors (2446788240).

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

831242880 is a wasteful number, since it uses less digits than its factorization.

831242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 831242880 is about 28831.2830099529. The cubic root of 831242880 is about 940.2484932295.

The spelling of 831242880 in words is "eight hundred thirty-one million, two hundred forty-two thousand, eight hundred eighty".