729770160 has 80 divisors (see below), whose sum is σ = 2585477376. Its totient is φ = 166804224.

The previous prime is 729770137. The next prime is 729770161. The reversal of 729770160 is 61077927.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (729770161) 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 15 ways as a sum of consecutive naturals, for example, 215514 + ... + 218873.

Almost surely, 2^729770160 is an apocalyptic number.

729770160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

729770160 is an abundant number, since it is smaller than the sum of its proper divisors (1855707216).

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

729770160 is a wasteful number, since it uses less digits than its factorization.

729770160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434410 (or 434404 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 729770160 is about 27014.2584573406. The cubic root of 729770160 is about 900.3168267261.

The spelling of 729770160 in words is "seven hundred twenty-nine million, seven hundred seventy thousand, one hundred sixty".