8077816622500 has 45 divisors (see below), whose sum is σ = 17664880156231. Its totient is φ = 3231069806000.

The previous prime is 8077816622429. The next prime is 8077816622527. The reversal of 8077816622500 is 52266187708.

The square root of 8077816622500 is 2842150.

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

It can be written as a sum of positive squares in 2 ways, for example, as 633300823204 + 7444515799296 = 795802^2 + 2728464^2 .

It is a super-2 number, since 2×8077816622500² (a number of 27 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 14 ways as a sum of consecutive naturals, for example, 142079079 + ... + 142135921.

Almost surely, 2^{8077816622500} is an apocalyptic number.

8077816622500 is the 2842150-th square number.

It is an amenable number.

8077816622500 is an abundant number, since it is smaller than the sum of its proper divisors (9587063533731).

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

8077816622500 is an frugal number, since it uses more digits than its factorization.

8077816622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113710 (or 56850 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 8077816622500 in words is "eight trillion, seventy-seven billion, eight hundred sixteen million, six hundred twenty-two thousand, five hundred".