75826320 has 80 divisors (see below), whose sum is σ = 241442880. Its totient is φ = 19671552.

The previous prime is 75826313. The next prime is 75826327. The reversal of 75826320 is 2362857.

It is an interprime number because it is at equal distance from previous prime (75826313) and next prime (75826327).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (75826327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4611 + ... + 13149.

It is an arithmetic number, because the mean of its divisors is an integer number (3018036).

Almost surely, 2^75826320 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 75826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120721440).

75826320 is an abundant number, since it is smaller than the sum of its proper divisors (165616560).

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

75826320 is a wasteful number, since it uses less digits than its factorization.

75826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 75826320 is about 8707.8309583960. The cubic root of 75826320 is about 423.2594466016.

The spelling of 75826320 in words is "seventy-five million, eight hundred twenty-six thousand, three hundred twenty".