20762880 has 72 divisors (see below), whose sum is σ = 66323712. Its totient is φ = 5535744.

The previous prime is 20762837. The next prime is 20762887. The reversal of 20762880 is 8826702.

It is not an unprimeable number, because it can be changed into a prime (20762887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 6543.

Almost surely, 2^20762880 is an apocalyptic number.

20762880 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 20762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33161856).

20762880 is an abundant number, since it is smaller than the sum of its proper divisors (45560832).

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

20762880 is an equidigital number, since it uses as much as digits as its factorization.

20762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20762880 is about 4556.6303339200. The cubic root of 20762880 is about 274.8500780614.

The spelling of 20762880 in words is "twenty million, seven hundred sixty-two thousand, eight hundred eighty".