75493764 has 108 divisors (see below), whose sum is σ = 208164684. Its totient is φ = 23048064.

The previous prime is 75493723. The next prime is 75493777. The reversal of 75493764 is 46739457.

It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 28708164 = 6840^2 + 5358^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480774 + ... + 480930.

Almost surely, 2^75493764 is an apocalyptic number.

75493764 is a gapful number since it is divisible by the number (74) 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 75493764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104082342).

75493764 is an abundant number, since it is smaller than the sum of its proper divisors (132670920).

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

75493764 is a wasteful number, since it uses less digits than its factorization.

75493764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 75493764 is about 8688.7147496048. The cubic root of 75493764 is about 422.6397684234.

The spelling of 75493764 in words is "seventy-five million, four hundred ninety-three thousand, seven hundred sixty-four".