744099840 has 312 divisors, whose sum is σ = 2821373568. Its totient is φ = 179896320.

The previous prime is 744099827. The next prime is 744099883. The reversal of 744099840 is 48990447.

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 23 ways as a sum of consecutive naturals, for example, 2027337 + ... + 2027703.

It is an arithmetic number, because the mean of its divisors is an integer number (9042864).

Almost surely, 2^744099840 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 744099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410686784).

744099840 is an abundant number, since it is smaller than the sum of its proper divisors (2077273728).

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

744099840 is a wasteful number, since it uses less digits than its factorization.

744099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

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

The square root of 744099840 is about 27278.1934885725. The cubic root of 744099840 is about 906.1715097142.

The spelling of 744099840 in words is "seven hundred forty-four million, ninety-nine thousand, eight hundred forty".