772096 has 48 divisors (see below), whose sum is σ = 1719900. Its totient is φ = 344064.

The previous prime is 772091. The next prime is 772097. The reversal of 772096 is 690277.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 25600 = 864^2 + 160^2 .

It is a super-2 number, since 2×772096² = 1192264466432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (772091) by changing a digit.

772096 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 3 ways as a sum of consecutive naturals, for example, 26610 + ... + 26638.

2⁷⁷²⁰⁹⁶ 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 772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859950).

772096 is an abundant number, since it is smaller than the sum of its proper divisors (947804).

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

772096 is a wasteful number, since it uses less digits than its factorization.

772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

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

The square root of 772096 is about 878.6899339357. The cubic root of 772096 is about 91.7396546332.

The spelling of 772096 in words is "seven hundred seventy-two thousand, ninety-six".