10086780 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2150400.

The previous prime is 10086773. The next prime is 10086787. The reversal of 10086780 is 8768001.

10086780 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (10086773) and next prime (10086787).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086787) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325365 + ... + 325395.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^10086780 is an apocalyptic number.

10086780 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 10086780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

10086780 is an abundant number, since it is smaller than the sum of its proper divisors (24749700).

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

10086780 is a wasteful number, since it uses less digits than its factorization.

10086780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10086780 is about 3175.9691434269. The cubic root of 10086780 is about 216.0648810581.

The spelling of 10086780 in words is "ten million, eighty-six thousand, seven hundred eighty".