10007770000 has 50 divisors (see below), whose sum is σ = 24229836158. Its totient is φ = 4003104000.

The previous prime is 10007769977. The next prime is 10007770009. The reversal of 10007770000 is 7770001.

It can be written as a sum of positive squares in 5 ways, for example, as 2142208656 + 7865561344 = 46284^2 + 88688^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007770009) 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 9 ways as a sum of consecutive naturals, for example, 490389 + ... + 510388.

Almost surely, 2^10007770000 is an apocalyptic number.

10007770000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007770000 is an abundant number, since it is smaller than the sum of its proper divisors (14222066158).

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

10007770000 is an equidigital number, since it uses as much as digits as its factorization.

10007770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000805 (or 1000784 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 22.

Subtracting from 10007770000 its reverse (7770001), we obtain a palindrome (9999999999).

The spelling of 10007770000 in words is "ten billion, seven million, seven hundred seventy thousand".