749928960 has 360 divisors, whose sum is σ = 2865402540. Its totient is φ = 181125120.

The previous prime is 749928941. The next prime is 749928989. The reversal of 749928960 is 69829947.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 80568576 = 25872^2 + 8976^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 749928897 and 749928906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787706 + ... + 2787974.

Almost surely, 2^749928960 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 749928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432701270).

749928960 is an abundant number, since it is smaller than the sum of its proper divisors (2115473580).

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

749928960 is a wasteful number, since it uses less digits than its factorization.

749928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 749928960 is about 27384.8308375276. The cubic root of 749928960 is about 908.5316092332.

The spelling of 749928960 in words is "seven hundred forty-nine million, nine hundred twenty-eight thousand, nine hundred sixty".