10001780 has 48 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 3598848.

The previous prime is 10001779. The next prime is 10001791. The reversal of 10001780 is 8710001.

10001780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7181 + ... + 8459.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^10001780 is an apocalyptic number.

10001780 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 10001780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10001780 is an abundant number, since it is smaller than the sum of its proper divisors (13222540).

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

10001780 is a wasteful number, since it uses less digits than its factorization.

10001780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10001780 is about 3162.5590903570. The cubic root of 10001780 is about 215.4562512240.

Adding to 10001780 its reverse (8710001), we get a palindrome (18711781).

The spelling of 10001780 in words is "ten million, one thousand, seven hundred eighty".