727673680 has 40 divisors (see below), whose sum is σ = 1693219752. Its totient is φ = 290832384.

The previous prime is 727673663. The next prime is 727673689. The reversal of 727673680 is 86376727.

It can be written as a sum of positive squares in 4 ways, for example, as 93238336 + 634435344 = 9656^2 + 25188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 727673680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727673689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121312 + ... + 127168.

Almost surely, 2^727673680 is an apocalyptic number.

It is an amenable number.

727673680 is an abundant number, since it is smaller than the sum of its proper divisors (965546072).

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

727673680 is a wasteful number, since it uses less digits than its factorization.

727673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 727673680 is about 26975.4273367448. The cubic root of 727673680 is about 899.4538579551.

The spelling of 727673680 in words is "seven hundred twenty-seven million, six hundred seventy-three thousand, six hundred eighty".