20776000 has 168 divisors, whose sum is σ = 60981336. Its totient is φ = 6988800.

The previous prime is 20775991. The next prime is 20776033. The reversal of 20776000 is 67702.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 20575296 = 448^2 + 4536^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391974 + ... + 392026.

Almost surely, 2^20776000 is an apocalyptic number.

20776000 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 20776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30490668).

20776000 is an abundant number, since it is smaller than the sum of its proper divisors (40205336).

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

20776000 is an equidigital number, since it uses as much as digits as its factorization.

20776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 20776000 is about 4558.0697669079. The cubic root of 20776000 is about 274.9079581780.

The spelling of 20776000 in words is "twenty million, seven hundred seventy-six thousand".