727920400 has 135 divisors (see below), whose sum is σ = 1872078933. Its totient is φ = 271958400.

The previous prime is 727920397. The next prime is 727920407. The reversal of 727920400 is 4029727.

It is a happy number.

The square root of 727920400 is 26980.

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., 262051344 + 465869056 = 16188^2 + 21584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727920407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10252365 + ... + 10252435.

Almost surely, 2^727920400 is an apocalyptic number.

727920400 is the 26980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727920400

727920400 is an abundant number, since it is smaller than the sum of its proper divisors (1144158533).

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

727920400 is a wasteful number, since it uses less digits than its factorization.

727920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The cubic root of 727920400 is about 899.5555006678. Note that the first 4 decimals are identical.

Multiplying 727920400 by its product of nonzero digits (7056), we get a square (5136206342400 = 2266320²).

The spelling of 727920400 in words is "seven hundred twenty-seven million, nine hundred twenty thousand, four hundred".