744765840 has 480 divisors, whose sum is σ = 3199961856. Its totient is φ = 156764160.

The previous prime is 744765821. The next prime is 744765863. The reversal of 744765840 is 48567447.

It is a super-4 number, since 4×744765840⁴ (a number of 37 digits) contains 4444 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1768830 + ... + 1769250.

Almost surely, 2^744765840 is an apocalyptic number.

744765840 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 744765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599980928).

744765840 is an abundant number, since it is smaller than the sum of its proper divisors (2455196016).

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

744765840 is a wasteful number, since it uses less digits than its factorization.

744765840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 744765840 is about 27290.3983114941. The cubic root of 744765840 is about 906.4417827014.

The spelling of 744765840 in words is "seven hundred forty-four million, seven hundred sixty-five thousand, eight hundred forty".