772128953 has 4 divisors (see below), whose sum is σ = 772214388. Its totient is φ = 772043520.

The previous prime is 772128949. The next prime is 772128977. The reversal of 772128953 is 359821277.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 216913984 + 555214969 = 14728^2 + 23563^2 .

It is a cyclic number.

It is not a de Polignac number, because 772128953 - 2² = 772128949 is a prime.

It is a super-3 number, since 3×772128953³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772128353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27308 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (193053597).

Almost surely, 2^772128953 is an apocalyptic number.

It is an amenable number.

772128953 is a deficient number, since it is larger than the sum of its proper divisors (85435).

772128953 is a wasteful number, since it uses less digits than its factorization.

772128953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85434.

The product of its digits is 211680, while the sum is 44.

The square root of 772128953 is about 27787.2084420152. The cubic root of 772128953 is about 917.4095976185.

The spelling of 772128953 in words is "seven hundred seventy-two million, one hundred twenty-eight thousand, nine hundred fifty-three".