75764 has 24 divisors (see below), whose sum is σ = 150528. Its totient is φ = 33120.

The previous prime is 75743. The next prime is 75767. The reversal of 75764 is 46757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75767) by changing a digit.

75764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1589 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (6272).

2⁷⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

75764 is a deficient number, since it is larger than the sum of its proper divisors (74764).

75764 is a wasteful number, since it uses less digits than its factorization.

75764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 75764 is about 275.2526112501. The cubic root of 75764 is about 42.3143458915.

The spelling of 75764 in words is "seventy-five thousand, seven hundred sixty-four".