820162773 has 32 divisors (see below), whose sum is σ = 1342483200. Its totient is φ = 492231168.

The previous prime is 820162741. The next prime is 820162787. The reversal of 820162773 is 377261028.

820162773 is a `hidden beast` number, since 8 + 20 + 1 + 627 + 7 + 3 = 666.

It is not a de Polignac number, because 820162773 - 2⁵ = 820162741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820169773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28288 + ... + 49401.

It is an arithmetic number, because the mean of its divisors is an integer number (41952600).

Almost surely, 2^820162773 is an apocalyptic number.

It is an amenable number.

820162773 is a deficient number, since it is larger than the sum of its proper divisors (522320427).

820162773 is a wasteful number, since it uses less digits than its factorization.

820162773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77738 (or 77732 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 820162773 is about 28638.4841253862. The cubic root of 820162773 is about 936.0520907072.

The spelling of 820162773 in words is "eight hundred twenty million, one hundred sixty-two thousand, seven hundred seventy-three".