744775680 has 448 divisors, whose sum is σ = 2830982400. Its totient is φ = 165150720.

The previous prime is 744775679. The next prime is 744775687. The reversal of 744775680 is 86577447.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744775687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25681906 + ... + 25681934.

Almost surely, 2^744775680 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 744775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415491200).

744775680 is an abundant number, since it is smaller than the sum of its proper divisors (2086206720).

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

744775680 is a wasteful number, since it uses less digits than its factorization.

744775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 744775680 is about 27290.5785940863. The cubic root of 744775680 is about 906.4457747158.

The spelling of 744775680 in words is "seven hundred forty-four million, seven hundred seventy-five thousand, six hundred eighty".