750740400 has 600 divisors, whose sum is σ = 3014003520. Its totient is φ = 178053120.

The previous prime is 750740377. The next prime is 750740413. The reversal of 750740400 is 4047057.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×750740400² = 1127222296384320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 15973177 + ... + 15973223.

Almost surely, 2^750740400 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 750740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507001760).

750740400 is an abundant number, since it is smaller than the sum of its proper divisors (2263263120).

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

750740400 is a wasteful number, since it uses less digits than its factorization.

750740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 750740400 is about 27399.6423334320. The cubic root of 750740400 is about 908.8591749949.

Adding to 750740400 its reverse (4047057), we get a palindrome (754787457).

The spelling of 750740400 in words is "seven hundred fifty million, seven hundred forty thousand, four hundred".