20776180 has 48 divisors (see below), whose sum is σ = 45677520. Its totient is φ = 7927808.

The previous prime is 20776141. The next prime is 20776213. The reversal of 20776180 is 8167702.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7772944 + 13003236 = 2788^2 + 3606^2 .

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, 65382 + ... + 65698.

It is an arithmetic number, because the mean of its divisors is an integer number (951615).

Almost surely, 2^20776180 is an apocalyptic number.

20776180 is a gapful number since it is divisible by the number (20) 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 20776180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838760).

20776180 is an abundant number, since it is smaller than the sum of its proper divisors (24901340).

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

20776180 is a wasteful number, since it uses less digits than its factorization.

20776180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 20776180 is about 4558.0895120653. The cubic root of 20776180 is about 274.9087520955.

It can be divided in two parts, 20 and 776180, that multiplied together give a square (15523600 = 3940²).

The spelling of 20776180 in words is "twenty million, seven hundred seventy-six thousand, one hundred eighty".