729146880 has 640 divisors, whose sum is σ = 3252648960. Its totient is φ = 150405120.

The previous prime is 729146867. The next prime is 729146923. The reversal of 729146880 is 88641927.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×729146880² = 1063310345227468800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322172 + ... + 5322308.

It is an arithmetic number, because the mean of its divisors is an integer number (5082264).

Almost surely, 2^729146880 is an apocalyptic number.

729146880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626324480).

729146880 is an abundant number, since it is smaller than the sum of its proper divisors (2523502080).

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

729146880 is a wasteful number, since it uses less digits than its factorization.

729146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 729146880 is about 27002.7198630064. The cubic root of 729146880 is about 900.0604403854.

The spelling of 729146880 in words is "seven hundred twenty-nine million, one hundred forty-six thousand, eight hundred eighty".