749909600 has 216 divisors, whose sum is σ = 2061368064. Its totient is φ = 266112000.

The previous prime is 749909569. The next prime is 749909603. The reversal of 749909600 is 6909947.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749909603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5904737 + ... + 5904863.

Almost surely, 2^749909600 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 749909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030684032).

749909600 is an abundant number, since it is smaller than the sum of its proper divisors (1311458464).

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

749909600 is a wasteful number, since it uses less digits than its factorization.

749909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 749909600 is about 27384.4773548812. The cubic root of 749909600 is about 908.5237910156.

The spelling of 749909600 in words is "seven hundred forty-nine million, nine hundred nine thousand, six hundred".