77000020 has 24 divisors (see below), whose sum is σ = 162120168. Its totient is φ = 30720000.

The previous prime is 77000003. The next prime is 77000029. The reversal of 77000020 is 2000077.

It can be written as a sum of positive squares in 4 ways, for example, as 40373316 + 36626704 = 6354^2 + 6052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76999958 and 77000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77000029) 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, 3220 + ... + 12820.

It is an arithmetic number, because the mean of its divisors is an integer number (6755007).

Almost surely, 2^77000020 is an apocalyptic number.

It is an amenable number.

77000020 is an abundant number, since it is smaller than the sum of its proper divisors (85120148).

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

77000020 is a wasteful number, since it uses less digits than its factorization.

77000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 77000020 is about 8774.9655269978. The cubic root of 77000020 is about 425.4321233454.

Adding to 77000020 its reverse (2000077), we get a palindrome (79000097).

The spelling of 77000020 in words is "seventy-seven million, twenty", and thus it is an aban number and an uban number.