75091000320 has 704 divisors, whose sum is σ = 309451376640. Its totient is φ = 16912613376.

The previous prime is 75091000297. The next prime is 75091000337. The reversal of 75091000320 is 2300019057.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70640109 + ... + 70641171.

Almost surely, 2^75091000320 is an apocalyptic number.

75091000320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75091000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154725688320).

75091000320 is an abundant number, since it is smaller than the sum of its proper divisors (234360376320).

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

75091000320 is a wasteful number, since it uses less digits than its factorization.

75091000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

Adding to 75091000320 its reverse (2300019057), we get a palindrome (77391019377).

The spelling of 75091000320 in words is "seventy-five billion, ninety-one million, three hundred twenty", and thus it is an aban number.