772776 has 24 divisors (see below), whose sum is σ = 2093130. Its totient is φ = 257568.

The previous prime is 772771. The next prime is 772789. The reversal of 772776 is 677277.

It is a happy number.

772776 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 only one way, i.e., 756900 + 15876 = 870^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 772776.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772776.

It is not an unprimeable number, because it can be changed into a prime (772771) by changing a digit.

772776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5295 + ... + 5438.

2⁷⁷²⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

772776 is an abundant number, since it is smaller than the sum of its proper divisors (1320354).

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

772776 is a wasteful number, since it uses less digits than its factorization.

772776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745 (or 10738 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 772776 is about 879.0767884548. The cubic root of 772776 is about 91.7665790313.

The spelling of 772776 in words is "seven hundred seventy-two thousand, seven hundred seventy-six".