772002261 has 12 divisors (see below), whose sum is σ = 1123255692. Its totient is φ = 510910656.

The previous prime is 772002239. The next prime is 772002271. The reversal of 772002261 is 162200277.

772002261 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 395254161 + 376748100 = 19881^2 + 19410^2 .

It is not a de Polignac number, because 772002261 - 2²¹ = 769905109 is a prime.

It is a super-2 number, since 2×772002261² = 1191974981978224242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772002271) 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, 311826 + ... + 314291.

It is an arithmetic number, because the mean of its divisors is an integer number (93604641).

Almost surely, 2^772002261 is an apocalyptic number.

It is an amenable number.

772002261 is a deficient number, since it is larger than the sum of its proper divisors (351253431).

772002261 is a wasteful number, since it uses less digits than its factorization.

772002261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626260 (or 626257 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 772002261 is about 27784.9286664551. The cubic root of 772002261 is about 917.3594182567.

The spelling of 772002261 in words is "seven hundred seventy-two million, two thousand, two hundred sixty-one".