1006777677 has 4 divisors (see below), whose sum is σ = 1342370240. Its totient is φ = 671185116.

The previous prime is 1006777613. The next prime is 1006777679. The reversal of 1006777677 is 7767776001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7767776001 = 3 ⋅2589258667.

It is not a de Polignac number, because 1006777677 - 2⁶ = 1006777613 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 (1006777679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167796277 + ... + 167796282.

It is an arithmetic number, because the mean of its divisors is an integer number (335592560).

Almost surely, 2^1006777677 is an apocalyptic number.

It is an amenable number.

1006777677 is a deficient number, since it is larger than the sum of its proper divisors (335592563).

1006777677 is an equidigital number, since it uses as much as digits as its factorization.

1006777677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335592562.

The product of its (nonzero) digits is 605052, while the sum is 48.

The square root of 1006777677 is about 31729.7601157021. The cubic root of 1006777677 is about 1002.2541406985.

The spelling of 1006777677 in words is "one billion, six million, seven hundred seventy-seven thousand, six hundred seventy-seven".