76812288 has 208 divisors, whose sum is σ = 251627520. Its totient is φ = 20348928.

The previous prime is 76812287. The next prime is 76812289. The reversal of 76812288 is 88221867.

It is an interprime number because it is at equal distance from previous prime (76812287) and next prime (76812289).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76812287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634281 + ... + 1634327.

Almost surely, 2^76812288 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 76812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125813760).

76812288 is an abundant number, since it is smaller than the sum of its proper divisors (174815232).

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

76812288 is a wasteful number, since it uses less digits than its factorization.

76812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 76812288 is about 8764.2619769151. The cubic root of 76812288 is about 425.0860965136.

It can be divided in two parts, 768 and 12288, that multiplied together give a square (9437184 = 3072²).

The spelling of 76812288 in words is "seventy-six million, eight hundred twelve thousand, two hundred eighty-eight".