75790080000 has 1200 divisors, whose sum is σ = 306489423240. Its totient is φ = 18579456000.

The previous prime is 75790079933. The next prime is 75790080019. The reversal of 75790080000 is 8009757.

75790080000 is a `hidden beast` number, since 7 + 579 + 0 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1762559979 + ... + 1762560021.

Almost surely, 2^75790080000 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 75790080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153244711620).

75790080000 is an abundant number, since it is smaller than the sum of its proper divisors (230699343240).

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

75790080000 is an equidigital number, since it uses as much as digits as its factorization.

75790080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 75790080000 its reverse (8009757), we get a palindrome (75798089757).

The spelling of 75790080000 in words is "seventy-five billion, seven hundred ninety million, eighty thousand".