772377561 has 12 divisors (see below), whose sum is σ = 1154127780. Its totient is φ = 497162400.

The previous prime is 772377521. The next prime is 772377583. The reversal of 772377561 is 165773277.

772377561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 475022025 + 297355536 = 21795^2 + 17244^2 .

It is not a de Polignac number, because 772377561 - 2⁶ = 772377497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (772377521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1479390 + ... + 1479911.

It is an arithmetic number, because the mean of its divisors is an integer number (96177315).

Almost surely, 2^772377561 is an apocalyptic number.

It is an amenable number.

772377561 is a deficient number, since it is larger than the sum of its proper divisors (381750219).

772377561 is a wasteful number, since it uses less digits than its factorization.

772377561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959336 (or 2959333 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 772377561 is about 27791.6815072424. The cubic root of 772377561 is about 917.5080487431.

The spelling of 772377561 in words is "seven hundred seventy-two million, three hundred seventy-seven thousand, five hundred sixty-one".