20777800320 has 256 divisors, whose sum is σ = 73926172800. Its totient is φ = 5515296768.

The previous prime is 20777800301. The next prime is 20777800321. The reversal of 20777800320 is 2300877702.

It is a super-2 number, since 2×20777800320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20777800321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3919912 + ... + 3925208.

Almost surely, 2^20777800320 is an apocalyptic number.

20777800320 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 20777800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36963086400).

20777800320 is an abundant number, since it is smaller than the sum of its proper divisors (53148372480).

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

20777800320 is a wasteful number, since it uses less digits than its factorization.

20777800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 20777800320 in words is "twenty billion, seven hundred seventy-seven million, eight hundred thousand, three hundred twenty".