744511680 has 336 divisors, whose sum is σ = 2841516288. Its totient is φ = 177408000.

The previous prime is 744511667. The next prime is 744511681. The reversal of 744511680 is 86115447.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (744511681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249115 + ... + 2249445.

Almost surely, 2^744511680 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 744511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420758144).

744511680 is an abundant number, since it is smaller than the sum of its proper divisors (2097004608).

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

744511680 is a wasteful number, since it uses less digits than its factorization.

744511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 744511680 is about 27285.7413313254. The cubic root of 744511680 is about 906.3386597049.

The spelling of 744511680 in words is "seven hundred forty-four million, five hundred eleven thousand, six hundred eighty".