772006006 has 16 divisors (see below), whose sum is σ = 1226675664. Its totient is φ = 363134464.

The previous prime is 772005953. The next prime is 772006007. The reversal of 772006006 is 600600277.

772006006 is a modest number, since divided by 6006 gives 772 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772006007) 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, 109566 + ... + 116398.

It is an arithmetic number, because the mean of its divisors is an integer number (76667229).

Almost surely, 2^772006006 is an apocalyptic number.

772006006 is a deficient number, since it is larger than the sum of its proper divisors (454669658).

772006006 is a wasteful number, since it uses less digits than its factorization.

772006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 772006006 is about 27784.9960590244. The cubic root of 772006006 is about 917.3609016312.

The spelling of 772006006 in words is "seven hundred seventy-two million, six thousand, six".