75538764 has 96 divisors (see below), whose sum is σ = 225559040. Its totient is φ = 21415104.

The previous prime is 75538763. The next prime is 75538783. The reversal of 75538764 is 46783557.

It is a super-2 number, since 2×75538764² = 11412209733295392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75538763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122922 + ... + 123534.

Almost surely, 2^75538764 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 75538764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112779520).

75538764 is an abundant number, since it is smaller than the sum of its proper divisors (150020276).

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

75538764 is a wasteful number, since it uses less digits than its factorization.

75538764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 75538764 is about 8691.3039297910. The cubic root of 75538764 is about 422.7237268457.

The spelling of 75538764 in words is "seventy-five million, five hundred thirty-eight thousand, seven hundred sixty-four".