749327040 has 672 divisors, whose sum is σ = 3347435520. Its totient is φ = 149299200.

The previous prime is 749327011. The next prime is 749327057. The reversal of 749327040 is 40723947.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×749327040² = 1122982025750323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 749326986 and 749327004.

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 95 ways as a sum of consecutive naturals, for example, 6874506 + ... + 6874614.

Almost surely, 2^749327040 is an apocalyptic number.

749327040 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 749327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673717760).

749327040 is an abundant number, since it is smaller than the sum of its proper divisors (2598108480).

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

749327040 is a wasteful number, since it uses less digits than its factorization.

749327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 749327040 is about 27373.8386055007. The cubic root of 749327040 is about 908.2884707710.

The spelling of 749327040 in words is "seven hundred forty-nine million, three hundred twenty-seven thousand, forty".