10020780 has 192 divisors, whose sum is σ = 39029760. Its totient is φ = 2073600.

The previous prime is 10020761. The next prime is 10020793. The reversal of 10020780 is 8702001.

10020780 = T₂₈₁ + T₂₈₂ + ... + T₄₃₄.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41460 + ... + 41700.

It is an arithmetic number, because the mean of its divisors is an integer number (203280).

Almost surely, 2^10020780 is an apocalyptic number.

10020780 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 10020780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

10020780 is an abundant number, since it is smaller than the sum of its proper divisors (29008980).

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

10020780 is a wasteful number, since it uses less digits than its factorization.

10020780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10020780 is about 3165.5615615559. The cubic root of 10020780 is about 215.5925962649.

Adding to 10020780 its reverse (8702001), we get a palindrome (18722781).

The spelling of 10020780 in words is "ten million, twenty thousand, seven hundred eighty".