772912 has 40 divisors (see below), whose sum is σ = 1753856. Its totient is φ = 323136.

The previous prime is 772909. The next prime is 772913. The reversal of 772912 is 219277.

It is a happy number.

772912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (772913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7453 + ... + 7555.

2⁷⁷²⁹¹² 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 772912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876928).

772912 is an abundant number, since it is smaller than the sum of its proper divisors (980944).

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

772912 is a wasteful number, since it uses less digits than its factorization.

772912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 772912 is about 879.1541389313. The cubic root of 772912 is about 91.7719620153.

The spelling of 772912 in words is "seven hundred seventy-two thousand, nine hundred twelve".