744868000 has 96 divisors (see below), whose sum is σ = 1889491968. Its totient is φ = 288288000.

The previous prime is 744867953. The next prime is 744868009. The reversal of 744868000 is 868447.

It is not an unprimeable number, because it can be changed into a prime (744868009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120997 + ... + 127003.

It is an arithmetic number, because the mean of its divisors is an integer number (19682208).

Almost surely, 2^744868000 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 744868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944745984).

744868000 is an abundant number, since it is smaller than the sum of its proper divisors (1144623968).

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

744868000 is a wasteful number, since it uses less digits than its factorization.

744868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 744868000 is about 27292.2699678865. The cubic root of 744868000 is about 906.4832265368.

The spelling of 744868000 in words is "seven hundred forty-four million, eight hundred sixty-eight thousand".