772271006 has 32 divisors (see below), whose sum is σ = 1277555328. Its totient is φ = 347892480.

The previous prime is 772270997. The next prime is 772271009. The reversal of 772271006 is 600172277.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772271009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636056 + ... + 637268.

It is an arithmetic number, because the mean of its divisors is an integer number (39923604).

Almost surely, 2^772271006 is an apocalyptic number.

772271006 is a deficient number, since it is larger than the sum of its proper divisors (505284322).

772271006 is a wasteful number, since it uses less digits than its factorization.

772271006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 772271006 is about 27789.7644106603. The cubic root of 772271006 is about 917.4658545403.

The spelling of 772271006 in words is "seven hundred seventy-two million, two hundred seventy-one thousand, six".