75894278400 has 540 divisors, whose sum is σ = 282154886244. Its totient is φ = 20127744000.

The previous prime is 75894278371. The next prime is 75894278431. The reversal of 75894278400 is 487249857.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1979894016 + 73914384384 = 44496^2 + 271872^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145670140 + ... + 145670660.

Almost surely, 2^75894278400 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 75894278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141077443122).

75894278400 is an abundant number, since it is smaller than the sum of its proper divisors (206260607844).

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

75894278400 is a wasteful number, since it uses less digits than its factorization.

75894278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 75894278400 in words is "seventy-five billion, eight hundred ninety-four million, two hundred seventy-eight thousand, four hundred".