76938640 has 20 divisors (see below), whose sum is σ = 178882524. Its totient is φ = 30775424.

The previous prime is 76938637. The next prime is 76938647. The reversal of 76938640 is 4683967.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34480384 + 42458256 = 5872^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (76938647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480787 + ... + 480946.

Almost surely, 2^76938640 is an apocalyptic number.

It is an amenable number.

76938640 is an abundant number, since it is smaller than the sum of its proper divisors (101943884).

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

76938640 is a wasteful number, since it uses less digits than its factorization.

76938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961746 (or 961740 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 76938640 is about 8771.4673800910. The cubic root of 76938640 is about 425.3190499315.

The spelling of 76938640 in words is "seventy-six million, nine hundred thirty-eight thousand, six hundred forty".