75431980800 has 972 divisors, whose sum is σ = 302375542560. Its totient is φ = 17923276800.

The previous prime is 75431980787. The next prime is 75431980829. The reversal of 75431980800 is 808913457.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 550598332 + ... + 550598468.

Almost surely, 2^75431980800 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 75431980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151187771280).

75431980800 is an abundant number, since it is smaller than the sum of its proper divisors (226943561760).

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

75431980800 is a wasteful number, since it uses less digits than its factorization.

75431980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 75431980800 in words is "seventy-five billion, four hundred thirty-one million, nine hundred eighty thousand, eight hundred".