832000000 has 182 divisors, whose sum is σ = 2239697894. Its totient is φ = 307200000.

The previous prime is 831999983. The next prime is 832000027. The reversal of 832000000 is 238.

832000000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 789385216 + 42614784 = 28096^2 + 6528^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 63999994 + ... + 64000006.

Almost surely, 2^832000000 is an apocalyptic number.

832000000 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 832000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119848947).

832000000 is an abundant number, since it is smaller than the sum of its proper divisors (1407697894).

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

832000000 is an frugal number, since it uses more digits than its factorization.

832000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 832000000 is about 28844.4102037119. The cubic root of 832000000 is about 940.5338750883.

Multiplying 832000000 by its sum of digits (13), we get a square (10816000000 = 104000²).

832000000 divided by its sum of digits (13) gives a 6-th power (64000000 = 20⁶).

Adding to 832000000 its reverse (238), we get a palindrome (832000238).

It can be divided in two parts, 8 and 32000000, that multiplied together give a square (256000000 = 16000²).

The spelling of 832000000 in words is "eight hundred thirty-two million", and thus it is an aban number.