10807777700 has 72 divisors (see below), whose sum is σ = 24326062824. Its totient is φ = 4164480000.

The previous prime is 10807777661. The next prime is 10807777703. The reversal of 10807777700 is 777770801.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 132342016 + 10675435684 = 11504^2 + 103322^2 .

It is not an unprimeable number, because it can be changed into a prime (10807777703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359240 + ... + 388160.

Almost surely, 2^10807777700 is an apocalyptic number.

10807777700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10807777700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163031412).

10807777700 is an abundant number, since it is smaller than the sum of its proper divisors (13518285124).

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

10807777700 is a wasteful number, since it uses less digits than its factorization.

10807777700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29073 (or 29066 counting only the distinct ones).

The product of its (nonzero) digits is 134456, while the sum is 44.

The spelling of 10807777700 in words is "ten billion, eight hundred seven million, seven hundred seventy-seven thousand, seven hundred".