744387840 has 576 divisors, whose sum is σ = 3214149120. Its totient is φ = 159252480.

The previous prime is 744387817. The next prime is 744387851. The reversal of 744387840 is 48783447.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×744387840² = 1108226512679731200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4112550 + ... + 4112730.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^744387840 is an apocalyptic number.

744387840 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 744387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

744387840 is an abundant number, since it is smaller than the sum of its proper divisors (2469761280).

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

744387840 is a wasteful number, since it uses less digits than its factorization.

744387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 744387840 is about 27283.4719198272. The cubic root of 744387840 is about 906.2884043020.

The spelling of 744387840 in words is "seven hundred forty-four million, three hundred eighty-seven thousand, eight hundred forty".