76640384 has 32 divisors (see below), whose sum is σ = 153608940. Its totient is φ = 38087680.

The previous prime is 76640383. The next prime is 76640411. The reversal of 76640384 is 48304667.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76177984 + 462400 = 8728^2 + 680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (76640381) 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, 20414 + ... + 23874.

Almost surely, 2^76640384 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 76640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76804470).

76640384 is an abundant number, since it is smaller than the sum of its proper divisors (76968556).

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

76640384 is a wasteful number, since it uses less digits than its factorization.

76640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 76640384 is about 8754.4493830280. The cubic root of 76640384 is about 424.7687489349.

The spelling of 76640384 in words is "seventy-six million, six hundred forty thousand, three hundred eighty-four".