76388632320 has 1728 divisors, whose sum is σ = 355138753536. Its totient is φ = 13707509760.

The previous prime is 76388632291. The next prime is 76388632343. The reversal of 76388632320 is 2323688367.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76388632320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 457416877 + ... + 457417043.

It is an arithmetic number, because the mean of its divisors is an integer number (205520112).

Almost surely, 2^76388632320 is an apocalyptic number.

76388632320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76388632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177569376768).

76388632320 is an abundant number, since it is smaller than the sum of its proper divisors (278750121216).

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

76388632320 is a wasteful number, since it uses less digits than its factorization.

76388632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 76388632320 in words is "seventy-six billion, three hundred eighty-eight million, six hundred thirty-two thousand, three hundred twenty".