20768880 has 80 divisors (see below), whose sum is σ = 70245504. Its totient is φ = 5034240.

The previous prime is 20768873. The next prime is 20768887. The reversal of 20768880 is 8886702.

It is an interprime number because it is at equal distance from previous prime (20768873) and next prime (20768887).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20768887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 6573.

Almost surely, 2^20768880 is an apocalyptic number.

20768880 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 20768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35122752).

20768880 is an abundant number, since it is smaller than the sum of its proper divisors (49476624).

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

20768880 is a wasteful number, since it uses less digits than its factorization.

20768880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 20768880 is about 4557.2886676181. The cubic root of 20768880 is about 274.8765506517.

The spelling of 20768880 in words is "twenty million, seven hundred sixty-eight thousand, eight hundred eighty".