831378420 has 72 divisors (see below), whose sum is σ = 2533081824. Its totient is φ = 220713408.

The previous prime is 831378413. The next prime is 831378433. The reversal of 831378420 is 24873138.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30687 + ... + 51033.

It is an arithmetic number, because the mean of its divisors is an integer number (35181692).

Almost surely, 2^831378420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831378420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266540912).

831378420 is an abundant number, since it is smaller than the sum of its proper divisors (1701703404).

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

831378420 is a wasteful number, since it uses less digits than its factorization.

831378420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20589 (or 20584 counting only the distinct ones).

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

The square root of 831378420 is about 28833.6334859136. The cubic root of 831378420 is about 940.2995951628.

The spelling of 831378420 in words is "eight hundred thirty-one million, three hundred seventy-eight thousand, four hundred twenty".