76738 has 16 divisors (see below), whose sum is σ = 127224. Its totient is φ = 34560.

The previous prime is 76733. The next prime is 76753. The reversal of 76738 is 83767.

It can be written as a sum of positive squares in 4 ways, for example, as 69169 + 7569 = 263^2 + 87^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 1288.

2⁷⁶⁷³⁸ is an apocalyptic number.

76738 is a deficient number, since it is larger than the sum of its proper divisors (50486).

76738 is a wasteful number, since it uses less digits than its factorization.

76738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117.

The product of its digits is 7056, while the sum is 31.

The square root of 76738 is about 277.0162450110. The cubic root of 76738 is about 42.4949013491.

The spelling of 76738 in words is "seventy-six thousand, seven hundred thirty-eight".