740800800 has 216 divisors, whose sum is σ = 2697327360. Its totient is φ = 191116800.

The previous prime is 740800771. The next prime is 740800807. The reversal of 740800800 is 8008047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (740800807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 221541 + ... + 224859.

Almost surely, 2^740800800 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 740800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348663680).

740800800 is an abundant number, since it is smaller than the sum of its proper divisors (1956526560).

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

740800800 is a wasteful number, since it uses less digits than its factorization.

740800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 740800800 is about 27217.6560342730. The cubic root of 740800800 is about 904.8303254241.

Adding to 740800800 its reverse (8008047), we get a palindrome (748808847).

The spelling of 740800800 in words is "seven hundred forty million, eight hundred thousand, eight hundred".