76138782720 has 896 divisors, whose sum is σ = 327639029760. Its totient is φ = 14580449280.

The previous prime is 76138782697. The next prime is 76138782773. The reversal of 76138782720 is 2728783167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×76138782720² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 123002571 + ... + 123003189.

It is an arithmetic number, because the mean of its divisors is an integer number (365668560).

Almost surely, 2^76138782720 is an apocalyptic number.

76138782720 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 76138782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163819514880).

76138782720 is an abundant number, since it is smaller than the sum of its proper divisors (251500247040).

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

76138782720 is a wasteful number, since it uses less digits than its factorization.

76138782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

It can be divided in two parts, 76138 and 782720, that added together give a palindrome (858858).

The spelling of 76138782720 in words is "seventy-six billion, one hundred thirty-eight million, seven hundred eighty-two thousand, seven hundred twenty".