772105645 has 16 divisors (see below), whose sum is σ = 952621488. Its totient is φ = 600399360.

The previous prime is 772105627. The next prime is 772105651. The reversal of 772105645 is 546501277.

772105645 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 8 ways, for example, as 375816996 + 396288649 = 19386^2 + 19907^2 .

It is not a de Polignac number, because 772105645 - 2¹¹ = 772103597 is a prime.

It is a super-3 number, since 3×772105645³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49987 + ... + 63583.

It is an arithmetic number, because the mean of its divisors is an integer number (59538843).

Almost surely, 2^772105645 is an apocalyptic number.

It is an amenable number.

772105645 is a deficient number, since it is larger than the sum of its proper divisors (180515843).

772105645 is a wasteful number, since it uses less digits than its factorization.

772105645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920.

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 772105645 is about 27786.7890372385. The cubic root of 772105645 is about 917.4003663461.

The spelling of 772105645 in words is "seven hundred seventy-two million, one hundred five thousand, six hundred forty-five".