77616100 has 27 divisors (see below), whose sum is σ = 168618331. Its totient is φ = 31011200.

The previous prime is 77616079. The next prime is 77616107. The reversal of 77616100 is 161677.

The square root of 77616100 is 8810.

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 17522596 + 60093504 = 4186^2 + 7752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77616107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87660 + ... + 88540.

Almost surely, 2^77616100 is an apocalyptic number.

77616100 is the 8810-th square number.

It is an amenable number.

77616100 is an abundant number, since it is smaller than the sum of its proper divisors (91002231).

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

77616100 is an equidigital number, since it uses as much as digits as its factorization.

77616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The cubic root of 77616100 is about 426.5637433491.

Multiplying 77616100 by its product of nonzero digits (1764), we get a square (136914800400 = 370020²).

Adding to 77616100 its reverse (161677), we get a palindrome (77777777).

It can be divided in two parts, 7761 and 6100, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 77616100 in words is "seventy-seven million, six hundred sixteen thousand, one hundred".