20078880 has 96 divisors (see below), whose sum is σ = 64411200. Its totient is φ = 5256192.

The previous prime is 20078867. The next prime is 20078897. The reversal of 20078880 is 8887002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20078880² = 806322844108800, which contains 22 as substring.

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, 27966 + ... + 28674.

It is an arithmetic number, because the mean of its divisors is an integer number (670950).

Almost surely, 2^20078880 is an apocalyptic number.

20078880 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 20078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205600).

20078880 is an abundant number, since it is smaller than the sum of its proper divisors (44332320).

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

20078880 is a wasteful number, since it uses less digits than its factorization.

20078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 20078880 is about 4480.9463286230. The cubic root of 20078880 is about 271.7981489748.

The spelling of 20078880 in words is "twenty million, seventy-eight thousand, eight hundred eighty".