77810980 has 36 divisors (see below), whose sum is σ = 176947092. Its totient is φ = 28728960.

The previous prime is 77810969. The next prime is 77810983. The reversal of 77810980 is 8901877.

It can be written as a sum of positive squares in 6 ways, for example, as 30118144 + 47692836 = 5488^2 + 6906^2 .

It is a super-3 number, since 3×77810980³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77810983) 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 11 ways as a sum of consecutive naturals, for example, 8131 + ... + 14890.

It is an arithmetic number, because the mean of its divisors is an integer number (4915197).

Almost surely, 2^77810980 is an apocalyptic number.

It is an amenable number.

77810980 is an abundant number, since it is smaller than the sum of its proper divisors (99136112).

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

77810980 is a wasteful number, since it uses less digits than its factorization.

77810980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23041 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The square root of 77810980 is about 8821.0532250973. The cubic root of 77810980 is about 426.9204531272.

The spelling of 77810980 in words is "seventy-seven million, eight hundred ten thousand, nine hundred eighty".