727892880 has 320 divisors, whose sum is σ = 2687827968. Its totient is φ = 160634880.

The previous prime is 727892873. The next prime is 727892881. The reversal of 727892880 is 88298727.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (727892881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4358557 + ... + 4358723.

Almost surely, 2^727892880 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 727892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343913984).

727892880 is an abundant number, since it is smaller than the sum of its proper divisors (1959935088).

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

727892880 is a wasteful number, since it uses less digits than its factorization.

727892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 727892880 is about 26979.4899877666. The cubic root of 727892880 is about 899.5441642271.

The spelling of 727892880 in words is "seven hundred twenty-seven million, eight hundred ninety-two thousand, eight hundred eighty".