772960 has 24 divisors (see below), whose sum is σ = 1826496. Its totient is φ = 309120.

The previous prime is 772949. The next prime is 772963. The reversal of 772960 is 69277.

It is a happy number.

772960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2256 + ... + 2575.

It is an arithmetic number, because the mean of its divisors is an integer number (76104).

2⁷⁷²⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

772960 is an abundant number, since it is smaller than the sum of its proper divisors (1053536).

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

772960 is a wasteful number, since it uses less digits than its factorization.

772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 772960 is about 879.1814374747. The cubic root of 772960 is about 91.7738617413.

The spelling of 772960 in words is "seven hundred seventy-two thousand, nine hundred sixty".