75431400 has 144 divisors (see below), whose sum is σ = 257275200. Its totient is φ = 18268800.

The previous prime is 75431357. The next prime is 75431413. The reversal of 75431400 is 413457.

It is a super-3 number, since 3×75431400³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72081 + ... + 73119.

Almost surely, 2^75431400 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 75431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

75431400 is an abundant number, since it is smaller than the sum of its proper divisors (181843800).

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

75431400 is a wasteful number, since it uses less digits than its factorization.

75431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 75431400 is about 8685.1252149868. The cubic root of 75431400 is about 422.5233580681.

Adding to 75431400 its reverse (413457), we get a palindrome (75844857).

The spelling of 75431400 in words is "seventy-five million, four hundred thirty-one thousand, four hundred".