772107833025 has 72 divisors (see below), whose sum is σ = 1466821735704. Its totient is φ = 386895052800.

The previous prime is 772107832997. The next prime is 772107833033. The reversal of 772107833025 is 520338701277.

It is a happy number.

772107833025 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 12 ways, for example, as 14247048321 + 757860784704 = 119361^2 + 870552^2 .

It is not a de Polignac number, because 772107833025 - 2⁹ = 772107832513 is a prime.

It is a super-2 number, since 2×772107833025² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2032105 + ... + 2381945.

It is an arithmetic number, because the mean of its divisors is an integer number (20372524107).

Almost surely, 2^772107833025 is an apocalyptic number.

772107833025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

772107833025 is a deficient number, since it is larger than the sum of its proper divisors (694713902679).

772107833025 is a wasteful number, since it uses less digits than its factorization.

772107833025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350451 (or 350443 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 772107833025 in words is "seven hundred seventy-two billion, one hundred seven million, eight hundred thirty-three thousand, twenty-five".