76883961722500 has 135 divisors (see below), whose sum is σ = 173759059737417. Its totient is φ = 29756272560000.

The previous prime is 76883961722483. The next prime is 76883961722521. The reversal of 76883961722500 is 522716938867.

The square root of 76883961722500 is 8768350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 76777445651076 + 106516071424 = 8762274^2 + 326368^2 .

It is a super-2 number, since 2×76883961722500² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13590939672 + ... + 13590945328.

Almost surely, 2^{76883961722500} is an apocalyptic number.

76883961722500 is the 8768350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76883961722500

76883961722500 is an abundant number, since it is smaller than the sum of its proper divisors (96875098014917).

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

76883961722500 is an frugal number, since it uses more digits than its factorization.

76883961722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 76883961722500 in words is "seventy-six trillion, eight hundred eighty-three billion, nine hundred sixty-one million, seven hundred twenty-two thousand, five hundred".