720342000 has 240 divisors, whose sum is σ = 2875833792. Its totient is φ = 164620800.

The previous prime is 720341983. The next prime is 720342001. The reversal of 720342000 is 243027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720342001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123142 + ... + 128858.

Almost surely, 2^720342000 is an apocalyptic number.

720342000 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 720342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437916896).

720342000 is an abundant number, since it is smaller than the sum of its proper divisors (2155491792).

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

720342000 is a wasteful number, since it uses less digits than its factorization.

720342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 720342000 is about 26839.1877671438. The cubic root of 720342000 is about 896.4228379984.

Adding to 720342000 its reverse (243027), we get a palindrome (720585027).

The spelling of 720342000 in words is "seven hundred twenty million, three hundred forty-two thousand".