740728800 has 720 divisors, whose sum is σ = 3266790912. Its totient is φ = 159667200.

The previous prime is 740728783. The next prime is 740728829. The reversal of 740728800 is 8827047.

740728800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10432765 + ... + 10432835.

Almost surely, 2^740728800 is an apocalyptic number.

740728800 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 740728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633395456).

740728800 is an abundant number, since it is smaller than the sum of its proper divisors (2526062112).

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

740728800 is a wasteful number, since it uses less digits than its factorization.

740728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 740728800 is about 27216.3333312921. Note that the first 5 decimals coincide. The cubic root of 740728800 is about 904.8010103486.

The spelling of 740728800 in words is "seven hundred forty million, seven hundred twenty-eight thousand, eight hundred".