727665840 has 240 divisors, whose sum is σ = 2701969920. Its totient is φ = 174021120.

The previous prime is 727665839. The next prime is 727665847. The reversal of 727665840 is 48566727.

727665840 is a `hidden beast` number, since 7 + 2 + 7 + 66 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (727665847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625099 + ... + 626261.

It is an arithmetic number, because the mean of its divisors is an integer number (11258208).

Almost surely, 2^727665840 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 727665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350984960).

727665840 is an abundant number, since it is smaller than the sum of its proper divisors (1974304080).

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

727665840 is a wasteful number, since it uses less digits than its factorization.

727665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 727665840 is about 26975.2820189150. The cubic root of 727665840 is about 899.4506276868.

It can be divided in two parts, 72766 and 5840, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 727665840 in words is "seven hundred twenty-seven million, six hundred sixty-five thousand, eight hundred forty".