738720000 has 540 divisors, whose sum is σ = 2905382480. Its totient is φ = 186624000.

The previous prime is 738719983. The next prime is 738720007. The reversal of 738720000 is 27837.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (738720007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879991 + ... + 38880009.

Almost surely, 2^738720000 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 738720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452691240).

738720000 is an abundant number, since it is smaller than the sum of its proper divisors (2166662480).

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

738720000 is an frugal number, since it uses more digits than its factorization.

738720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 738720000 is about 27179.4039669747. The cubic root of 738720000 is about 903.9823527502.

Adding to 738720000 its reverse (27837), we get a palindrome (738747837).

The spelling of 738720000 in words is "seven hundred thirty-eight million, seven hundred twenty thousand".