1772010000 has 200 divisors, whose sum is σ = 6356840160. Its totient is φ = 472464000.

The previous prime is 1772009983. The next prime is 1772010013. The reversal of 1772010000 is 102771.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266719 + ... + 273281.

Almost surely, 2^1772010000 is an apocalyptic number.

1772010000 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 1772010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178420080).

1772010000 is an abundant number, since it is smaller than the sum of its proper divisors (4584830160).

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

1772010000 is an equidigital number, since it uses as much as digits as its factorization.

1772010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1772010000 is about 42095.2491381153. The cubic root of 1772010000 is about 1210.1022157122.

Adding to 1772010000 its reverse (102771), we get a palindrome (1772112771).

The spelling of 1772010000 in words is "one billion, seven hundred seventy-two million, ten thousand".