727220880 has 120 divisors (see below), whose sum is σ = 2447702712. Its totient is φ = 193492992.

The previous prime is 727220863. The next prime is 727220887. The reversal of 727220880 is 88022727.

It can be written as a sum of positive squares in 4 ways, for example, as 59721984 + 667498896 = 7728^2 + 25836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727220887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443422 + ... + 445058.

Almost surely, 2^727220880 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 727220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223851356).

727220880 is an abundant number, since it is smaller than the sum of its proper divisors (1720481832).

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

727220880 is a wasteful number, since it uses less digits than its factorization.

727220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 727220880 is about 26967.0332072329. The cubic root of 727220880 is about 899.2672554420.

The spelling of 727220880 in words is "seven hundred twenty-seven million, two hundred twenty thousand, eight hundred eighty".