771564066 has 64 divisors (see below), whose sum is σ = 1905835008. Its totient is φ = 202782528.

The previous prime is 771564019. The next prime is 771564077. The reversal of 771564066 is 660465177.

771564066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×771564066² = 1190622215884904712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165321 + ... + 169923.

It is an arithmetic number, because the mean of its divisors is an integer number (29778672).

Almost surely, 2^771564066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 771564066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952917504).

771564066 is an abundant number, since it is smaller than the sum of its proper divisors (1134270942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

771564066 is a wasteful number, since it uses less digits than its factorization.

771564066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935.

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 771564066 is about 27777.0420671460. The cubic root of 771564066 is about 917.1858184238.

The spelling of 771564066 in words is "seven hundred seventy-one million, five hundred sixty-four thousand, sixty-six".