772757120 has 64 divisors (see below), whose sum is σ = 1854800640. Its totient is φ = 307860480.

The previous prime is 772757093. The next prime is 772757129. The reversal of 772757120 is 21757277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (772757129) 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 7 ways as a sum of consecutive naturals, for example, 166025 + ... + 170615.

It is an arithmetic number, because the mean of its divisors is an integer number (28981260).

Almost surely, 2^772757120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927400320).

772757120 is an abundant number, since it is smaller than the sum of its proper divisors (1082043520).

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

772757120 is a wasteful number, since it uses less digits than its factorization.

772757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 48020, while the sum is 38.

The square root of 772757120 is about 27798.5093125513. The cubic root of 772757120 is about 917.6583169649.

The spelling of 772757120 in words is "seven hundred seventy-two million, seven hundred fifty-seven thousand, one hundred twenty".