750400 has 84 divisors (see below), whose sum is σ = 2141728. Its totient is φ = 253440.

The previous prime is 750383. The next prime is 750401. The reversal of 750400 is 4057.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11167 + ... + 11233.

2⁷⁵⁰⁴⁰⁰ is an apocalyptic number.

750400 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 750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070864).

750400 is an abundant number, since it is smaller than the sum of its proper divisors (1391328).

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

750400 is a wasteful number, since it uses less digits than its factorization.

750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 750400 is about 866.2563131083. The cubic root of 750400 is about 90.8721789540.

Adding to 750400 its reverse (4057), we get a palindrome (754457).

The spelling of 750400 in words is "seven hundred fifty thousand, four hundred".