749921760 has 192 divisors, whose sum is σ = 2999808000. Its totient is φ = 171403776.

The previous prime is 749921747. The next prime is 749921779. The reversal of 749921760 is 67129947.

749921760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×749921760² = 1124765292242995200, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17841 + ... + 42639.

It is an arithmetic number, because the mean of its divisors is an integer number (15624000).

Almost surely, 2^749921760 is an apocalyptic number.

749921760 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 749921760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

749921760 is an abundant number, since it is smaller than the sum of its proper divisors (2249886240).

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

749921760 is a wasteful number, since it uses less digits than its factorization.

749921760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24830 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 749921760 is about 27384.6993775721. The cubic root of 749921760 is about 908.5287016473.

The spelling of 749921760 in words is "seven hundred forty-nine million, nine hundred twenty-one thousand, seven hundred sixty".