77211736900 has 81 divisors (see below), whose sum is σ = 172429821207. Its totient is φ = 30009960000.

The previous prime is 77211736883. The next prime is 77211736939. The reversal of 77211736900 is 963711277.

The square root of 77211736900 is 277870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7329756996 + 69881979904 = 85614^2 + 264352^2 .

It is a super-2 number, since 2×77211736900² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102811525 + ... + 102812275.

Almost surely, 2^77211736900 is an apocalyptic number.

77211736900 is the 277870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77211736900

77211736900 is an abundant number, since it is smaller than the sum of its proper divisors (95218084307).

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

77211736900 is an equidigital number, since it uses as much as digits as its factorization.

77211736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 43.

The spelling of 77211736900 in words is "seventy-seven billion, two hundred eleven million, seven hundred thirty-six thousand, nine hundred".