21782000977 has 24 divisors (see below), whose sum is σ = 24165036000. Its totient is φ = 19618146240.

The previous prime is 21782000969. The next prime is 21782001019. The reversal of 21782000977 is 77900028712.

It is a happy number.

It is not a de Polignac number, because 21782000977 - 2³ = 21782000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21782000927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10376274 + ... + 10378372.

It is an arithmetic number, because the mean of its divisors is an integer number (1006876500).

Almost surely, 2^21782000977 is an apocalyptic number.

It is an amenable number.

21782000977 is a deficient number, since it is larger than the sum of its proper divisors (2383035023).

21782000977 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (21782000976) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2877).

21782000977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 43.

The spelling of 21782000977 in words is "twenty-one billion, seven hundred eighty-two million, nine hundred seventy-seven", and thus it is an aban number.