750390400 has 96 divisors (see below), whose sum is σ = 1861437780. Its totient is φ = 298905600.

The previous prime is 750390397. The next prime is 750390413. The reversal of 750390400 is 4093057.

It can be written as a sum of positive squares in 6 ways, for example, as 1382976 + 749007424 = 1176^2 + 27368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1346922 + ... + 1347478.

Almost surely, 2^750390400 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 750390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930718890).

750390400 is an abundant number, since it is smaller than the sum of its proper divisors (1111047380).

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

750390400 is a wasteful number, since it uses less digits than its factorization.

750390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 750390400 is about 27393.2546441638. The cubic root of 750390400 is about 908.7179143773.

It can be divided in two parts, 7503 and 90400, that added together give a triangular number (97903 = T₄₄₂).

The spelling of 750390400 in words is "seven hundred fifty million, three hundred ninety thousand, four hundred".