20777130 has 96 divisors (see below), whose sum is σ = 60922368. Its totient is φ = 4867200.

The previous prime is 20777101. The next prime is 20777167. The reversal of 20777130 is 3177702.

It is a junction number, because it is equal to n+sod(n) for n = 20777094 and 20777103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30352 + ... + 31028.

It is an arithmetic number, because the mean of its divisors is an integer number (634608).

Almost surely, 2^20777130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20777130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30461184).

20777130 is an abundant number, since it is smaller than the sum of its proper divisors (40145238).

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

20777130 is a wasteful number, since it uses less digits than its factorization.

20777130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 20777130 is about 4558.1937212014. The cubic root of 20777130 is about 274.9129421396.

The spelling of 20777130 in words is "twenty million, seven hundred seventy-seven thousand, one hundred thirty".