820777101 has 8 divisors (see below), whose sum is σ = 1094556000. Its totient is φ = 547091472.

The previous prime is 820777093. The next prime is 820777127. The reversal of 820777101 is 101777028.

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

It is not a de Polignac number, because 820777101 - 2³ = 820777093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820777141) 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, 775 + ... + 40523.

It is an arithmetic number, because the mean of its divisors is an integer number (136819500).

Almost surely, 2^820777101 is an apocalyptic number.

It is an amenable number.

820777101 is a deficient number, since it is larger than the sum of its proper divisors (273778899).

820777101 is a wasteful number, since it uses less digits than its factorization.

820777101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46635.

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 820777101 is about 28649.2076853794. The cubic root of 820777101 is about 936.2857433073.

The spelling of 820777101 in words is "eight hundred twenty million, seven hundred seventy-seven thousand, one hundred one".