20777008 has 40 divisors (see below), whose sum is σ = 46996992. Its totient is φ = 8712768.

The previous prime is 20776997. The next prime is 20777023. The reversal of 20777008 is 80077702.

It is a super-2 number, since 2×20777008² = 863368122864128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3291 + ... + 7237.

Almost surely, 2^20777008 is an apocalyptic number.

20777008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

20777008 is the 2632-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20777008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498496).

20777008 is an abundant number, since it is smaller than the sum of its proper divisors (26219984).

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

20777008 is a wasteful number, since it uses less digits than its factorization.

20777008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 20777008 is about 4558.1803386878. The cubic root of 20777008 is about 274.9124040569.

The spelling of 20777008 in words is "twenty million, seven hundred seventy-seven thousand, eight".