1770010000 has 100 divisors (see below), whose sum is σ = 4675240944. Its totient is φ = 643600000.

The previous prime is 1770009947. The next prime is 1770010009. The reversal of 1770010000 is 100771.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1770010009) 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 19 ways as a sum of consecutive naturals, for example, 101955 + ... + 118045.

Almost surely, 2^1770010000 is an apocalyptic number.

1770010000 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 1770010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337620472).

1770010000 is an abundant number, since it is smaller than the sum of its proper divisors (2905230944).

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

1770010000 is a wasteful number, since it uses less digits than its factorization.

1770010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16130 (or 16109 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 1770010000 is about 42071.4867814295. The cubic root of 1770010000 is about 1209.6467789419.

Adding to 1770010000 its reverse (100771), we get a palindrome (1770110771).

The spelling of 1770010000 in words is "one billion, seven hundred seventy million, ten thousand".