832327782400 has 117 divisors (see below), whose sum is σ = 2064645108813. Its totient is φ = 332814336000.

The previous prime is 832327782389. The next prime is 832327782443. The reversal of 832327782400 is 4287723238.

The square root of 832327782400 is 912320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 299638001664 + 532689780736 = 547392^2 + 729856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291940975 + ... + 291943825.

Almost surely, 2^832327782400 is an apocalyptic number.

832327782400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

832327782400 is the 912320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832327782400

832327782400 is an abundant number, since it is smaller than the sum of its proper divisors (1232317326413).

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

832327782400 is an frugal number, since it uses more digits than its factorization.

832327782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 832327782400 in words is "eight hundred thirty-two billion, three hundred twenty-seven million, seven hundred eighty-two thousand, four hundred".