76388520 has 128 divisors (see below), whose sum is σ = 257644800. Its totient is φ = 17977344.

The previous prime is 76388519. The next prime is 76388527. The reversal of 76388520 is 2588367.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (76388527) 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 31 ways as a sum of consecutive naturals, for example, 34816 + ... + 36944.

It is an arithmetic number, because the mean of its divisors is an integer number (2012850).

Almost surely, 2^76388520 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 76388520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128822400).

76388520 is an abundant number, since it is smaller than the sum of its proper divisors (181256280).

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

76388520 is a wasteful number, since it uses less digits than its factorization.

76388520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 76388520 is about 8740.0526314205. The cubic root of 76388520 is about 424.3029311369.

The spelling of 76388520 in words is "seventy-six million, three hundred eighty-eight thousand, five hundred twenty".