76888240 has 180 divisors, whose sum is σ = 217298592. Its totient is φ = 25259520.

The previous prime is 76888211. The next prime is 76888249. The reversal of 76888240 is 4288867.

It is not an unprimeable number, because it can be changed into a prime (76888249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1635897 + ... + 1635943.

Almost surely, 2^76888240 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 76888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108649296).

76888240 is an abundant number, since it is smaller than the sum of its proper divisors (140410352).

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

76888240 is a wasteful number, since it uses less digits than its factorization.

76888240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 76888240 is about 8768.5939579844. The cubic root of 76888240 is about 425.2261587543.

The spelling of 76888240 in words is "seventy-six million, eight hundred eighty-eight thousand, two hundred forty".