76824288 has 120 divisors (see below), whose sum is σ = 228872952. Its totient is φ = 25277184.

The previous prime is 76824281. The next prime is 76824289. The reversal of 76824288 is 88242867.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76824281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277206 + ... + 277482.

Almost surely, 2^76824288 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 76824288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114436476).

76824288 is an abundant number, since it is smaller than the sum of its proper divisors (152048664).

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

76824288 is a wasteful number, since it uses less digits than its factorization.

76824288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 76824288 is about 8764.9465486106. The cubic root of 76824288 is about 425.1082317200.

The spelling of 76824288 in words is "seventy-six million, eight hundred twenty-four thousand, two hundred eighty-eight".