160782400 has 63 divisors (see below), whose sum is σ = 396877159. Its totient is φ = 64110080.

The previous prime is 160782383. The next prime is 160782407. The reversal of 160782400 is 4287061.

The square root of 160782400 is 12680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64899136 + 95883264 = 8056^2 + 9792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160782407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 507042 + ... + 507358.

Almost surely, 2^160782400 is an apocalyptic number.

160782400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160782400 is the 12680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160782400

160782400 is an abundant number, since it is smaller than the sum of its proper divisors (236094759).

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

160782400 is an frugal number, since it uses more digits than its factorization.

160782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 160782400 is about 543.7669849805.

The spelling of 160782400 in words is "one hundred sixty million, seven hundred eighty-two thousand, four hundred".