744619680 has 432 divisors, whose sum is σ = 3021697224. Its totient is φ = 166440960.

The previous prime is 744619661. The next prime is 744619693. The reversal of 744619680 is 86916447.

744619680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 557148816 + 187470864 = 23604^2 + 13692^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4304074 + ... + 4304246.

Almost surely, 2^744619680 is an apocalyptic number.

744619680 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 744619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510848612).

744619680 is an abundant number, since it is smaller than the sum of its proper divisors (2277077544).

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

744619680 is a wasteful number, since it uses less digits than its factorization.

744619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 744619680 is about 27287.7203151894. The cubic root of 744619680 is about 906.3824825422.

The spelling of 744619680 in words is "seven hundred forty-four million, six hundred nineteen thousand, six hundred eighty".