772740027 has 32 divisors (see below), whose sum is σ = 1157495360. Its totient is φ = 509483520.

The previous prime is 772739999. The next prime is 772740037. The reversal of 772740027 is 720047277.

It is not a de Polignac number, because 772740027 - 2¹⁰ = 772739003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772739973 and 772740000.

It is not an unprimeable number, because it can be changed into a prime (772740037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784403 + ... + 1784835.

It is an arithmetic number, because the mean of its divisors is an integer number (36171730).

Almost surely, 2^772740027 is an apocalyptic number.

772740027 is a deficient number, since it is larger than the sum of its proper divisors (384755333).

772740027 is a wasteful number, since it uses less digits than its factorization.

772740027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 772740027 is about 27798.2018663078. The cubic root of 772740027 is about 917.6515508678.

The spelling of 772740027 in words is "seven hundred seventy-two million, seven hundred forty thousand, twenty-seven".