75889230400 has 189 divisors, whose sum is σ = 191374778667. Its totient is φ = 29619609600.

The previous prime is 75889230383. The next prime is 75889230401. The reversal of 75889230400 is 403298857.

The square root of 75889230400 is 275480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2790374976 + 73098855424 = 52824^2 + 270368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75889230401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 782363152 + ... + 782363248.

Almost surely, 2^75889230400 is an apocalyptic number.

75889230400 is the 275480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75889230400

75889230400 is an abundant number, since it is smaller than the sum of its proper divisors (115485548267).

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

75889230400 is an frugal number, since it uses more digits than its factorization.

75889230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 75889230400 in words is "seventy-five billion, eight hundred eighty-nine million, two hundred thirty thousand, four hundred".