749632000 has 320 divisors, whose sum is σ = 2171673504. Its totient is φ = 255590400.

The previous prime is 749631997. The next prime is 749632001. The reversal of 749632000 is 236947.

It can be written as a sum of positive squares in 16 ways, for example, as 15872256 + 733759744 = 3984^2 + 27088^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749632001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14143974 + ... + 14144026.

Almost surely, 2^749632000 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 749632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085836752).

749632000 is an abundant number, since it is smaller than the sum of its proper divisors (1422041504).

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

749632000 is a wasteful number, since it uses less digits than its factorization.

749632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 749632000 is about 27379.4083208531. The cubic root of 749632000 is about 908.4116720210.

Adding to 749632000 its reverse (236947), we get a palindrome (749868947).

The spelling of 749632000 in words is "seven hundred forty-nine million, six hundred thirty-two thousand".