720438000 has 160 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 190700800.

The previous prime is 720437983. The next prime is 720438041. The reversal of 720438000 is 834027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001641 + ... + 1002359.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^720438000 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 720438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

720438000 is an abundant number, since it is smaller than the sum of its proper divisors (1619412240).

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

720438000 is a wasteful number, since it uses less digits than its factorization.

720438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 720438000 is about 26840.9761372421. The cubic root of 720438000 is about 896.4626583290.

The spelling of 720438000 in words is "seven hundred twenty million, four hundred thirty-eight thousand".