729800 has 48 divisors (see below), whose sum is σ = 1757700. Its totient is φ = 281600.

The previous prime is 729791. The next prime is 729821. The reversal of 729800 is 8927.

729800 = T₂₉₄ + T₂₉₅ + ... + T₃₀₉.

It can be written as a sum of positive squares in 6 ways, for example, as 27556 + 702244 = 166^2 + 838^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 729800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8156 + ... + 8244.

2⁷²⁹⁸⁰⁰ 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 729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878850).

729800 is an abundant number, since it is smaller than the sum of its proper divisors (1027900).

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

729800 is a wasteful number, since it uses less digits than its factorization.

729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 729800 is about 854.2833253669. The cubic root of 729800 is about 90.0329097753.

It can be divided in two parts, 72 and 9800, that multiplied together give a square (705600 = 840²).

The spelling of 729800 in words is "seven hundred twenty-nine thousand, eight hundred".