749641200 has 720 divisors, whose sum is σ = 3260327040. Its totient is φ = 145152000.

The previous prime is 749641177. The next prime is 749641223. The reversal of 749641200 is 2146947.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (749641177) and next prime (749641223).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12289170 + ... + 12289230.

It is an arithmetic number, because the mean of its divisors is an integer number (4528232).

Almost surely, 2^749641200 is an apocalyptic number.

749641200 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 749641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630163520).

749641200 is an abundant number, since it is smaller than the sum of its proper divisors (2510685840).

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

749641200 is a wasteful number, since it uses less digits than its factorization.

749641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 749641200 is about 27379.5763298120. The cubic root of 749641200 is about 908.4153882237.

The spelling of 749641200 in words is "seven hundred forty-nine million, six hundred forty-one thousand, two hundred".