729416820 has 48 divisors (see below), whose sum is σ = 2228038848. Its totient is φ = 176828160.

The previous prime is 729416797. The next prime is 729416827. The reversal of 729416820 is 28614927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729416827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551929 + ... + 553248.

It is an arithmetic number, because the mean of its divisors is an integer number (46417476).

Almost surely, 2^729416820 is an apocalyptic number.

It is an amenable number.

729416820 is an abundant number, since it is smaller than the sum of its proper divisors (1498622028).

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

729416820 is a wasteful number, since it uses less digits than its factorization.

729416820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105200 (or 1105198 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 729416820 is about 27007.7177858478. The cubic root of 729416820 is about 900.1714981825.

It can be divided in two parts, 729416 and 820, that added together give a triangular number (730236 = T₁₂₀₈).

The spelling of 729416820 in words is "seven hundred twenty-nine million, four hundred sixteen thousand, eight hundred twenty".