77780285300 has 72 divisors (see below), whose sum is σ = 178772854680. Its totient is φ = 29271961600.

The previous prime is 77780285299. The next prime is 77780285321. The reversal of 77780285300 is 358208777.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 26918308624 + 50861976676 = 164068^2 + 225526^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6591806 + ... + 6603594.

It is an arithmetic number, because the mean of its divisors is an integer number (2482956315).

Almost surely, 2^77780285300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77780285300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89386427340).

77780285300 is an abundant number, since it is smaller than the sum of its proper divisors (100992569380).

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

77780285300 is a wasteful number, since it uses less digits than its factorization.

77780285300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15701 (or 15694 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 77780285300 in words is "seventy-seven billion, seven hundred eighty million, two hundred eighty-five thousand, three hundred".