1006772767 has 48 divisors (see below), whose sum is σ = 1435940352. Its totient is φ = 692556480.

The previous prime is 1006772713. The next prime is 1006772777. The reversal of 1006772767 is 7672776001.

It is not a de Polignac number, because 1006772767 - 2⁷ = 1006772639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006772777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158038 + ... + 164284.

It is an arithmetic number, because the mean of its divisors is an integer number (29915424).

Almost surely, 2^1006772767 is an apocalyptic number.

1006772767 is a deficient number, since it is larger than the sum of its proper divisors (429167585).

1006772767 is a wasteful number, since it uses less digits than its factorization.

1006772767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 43.

The square root of 1006772767 is about 31729.6827434502. The cubic root of 1006772767 is about 1002.2525113829.

The spelling of 1006772767 in words is "one billion, six million, seven hundred seventy-two thousand, seven hundred sixty-seven".