75343300 has 36 divisors (see below), whose sum is σ = 165750676. Its totient is φ = 29721600.

The previous prime is 75343297. The next prime is 75343319. The reversal of 75343300 is 334357.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 74891716 = 672^2 + 8654^2 .

It is a super-2 number, since 2×75343300² = 11353225709780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140 + ... + 12460.

Almost surely, 2^75343300 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 75343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82875338).

75343300 is an abundant number, since it is smaller than the sum of its proper divisors (90407376).

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

75343300 is a wasteful number, since it uses less digits than its factorization.

75343300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 75343300 is about 8680.0518431632. The cubic root of 75343300 is about 422.3587987940.

Adding to 75343300 its reverse (334357), we get a palindrome (75677657).

The spelling of 75343300 in words is "seventy-five million, three hundred forty-three thousand, three hundred".