772772 has 48 divisors (see below), whose sum is σ = 1825152. Its totient is φ = 276480.

The previous prime is 772771. The next prime is 772789. The reversal of 772772 is 277277.

772772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772772.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3908 + ... + 4100.

It is an arithmetic number, because the mean of its divisors is an integer number (38024).

2⁷⁷²⁷⁷² 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 772772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912576).

772772 is an abundant number, since it is smaller than the sum of its proper divisors (1052380).

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

772772 is a wasteful number, since it uses less digits than its factorization.

772772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its digits is 9604, while the sum is 32.

The square root of 772772 is about 879.0745133377. The cubic root of 772772 is about 91.7664206986.

It can be divided in two parts, 77 and 2772, that multiplied together give a square (213444 = 462²).

The spelling of 772772 in words is "seven hundred seventy-two thousand, seven hundred seventy-two", and thus it is an iban number.