820989077 has 8 divisors (see below), whose sum is σ = 827668800. Its totient is φ = 814319584.

The previous prime is 820989053. The next prime is 820989079. The reversal of 820989077 is 770989028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820989077 - 2¹⁴ = 820972693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820989079) 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, 277874 + ... + 280812.

It is an arithmetic number, because the mean of its divisors is an integer number (103458600).

Almost surely, 2^820989077 is an apocalyptic number.

It is an amenable number.

820989077 is a deficient number, since it is larger than the sum of its proper divisors (6679723).

820989077 is a wasteful number, since it uses less digits than its factorization.

820989077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115.

The product of its (nonzero) digits is 508032, while the sum is 50.

The square root of 820989077 is about 28652.9069554906. The cubic root of 820989077 is about 936.3663388888.

The spelling of 820989077 in words is "eight hundred twenty million, nine hundred eighty-nine thousand, seventy-seven".