772118144 has 32 divisors (see below), whose sum is σ = 1757949600. Its totient is φ = 330907392.

The previous prime is 772118141. The next prime is 772118159. The reversal of 772118144 is 441811277.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (772118141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 429974 + ... + 431765.

It is an arithmetic number, because the mean of its divisors is an integer number (54935925).

Almost surely, 2^772118144 is an apocalyptic number.

It is an amenable number.

772118144 is an abundant number, since it is smaller than the sum of its proper divisors (985831456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

772118144 is an equidigital number, since it uses as much as digits as its factorization.

772118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861760 (or 861748 counting only the distinct ones).

The product of its digits is 12544, while the sum is 35.

The square root of 772118144 is about 27787.0139453666. The cubic root of 772118144 is about 917.4053166727.

The spelling of 772118144 in words is "seven hundred seventy-two million, one hundred eighteen thousand, one hundred forty-four".