772560 has 120 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 193536.

The previous prime is 772537. The next prime is 772567. The reversal of 772560 is 65277.

772560 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 4 ways, for example, as 219024 + 553536 = 468^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20862 + ... + 20898.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2⁷⁷²⁵⁶⁰ 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 772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

772560 is an abundant number, since it is smaller than the sum of its proper divisors (1983960).

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

772560 is a wasteful number, since it uses less digits than its factorization.

772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 772560 is about 878.9539237070. The cubic root of 772560 is about 91.7580282877.

The spelling of 772560 in words is "seven hundred seventy-two thousand, five hundred sixty".