772464 has 120 divisors (see below), whose sum is σ = 2638720. Its totient is φ = 190080.

The previous prime is 772459. The next prime is 772477. The reversal of 772464 is 464277.

772464 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.

Its product of digits (9408) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

772464 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 23 ways as a sum of consecutive naturals, for example, 40647 + ... + 40665.

2⁷⁷²⁴⁶⁴ 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 772464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319360).

772464 is an abundant number, since it is smaller than the sum of its proper divisors (1866256).

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

772464 is a wasteful number, since it uses less digits than its factorization.

772464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 772464 is about 878.8993116393. The cubic root of 772464 is about 91.7542274457.

The spelling of 772464 in words is "seven hundred seventy-two thousand, four hundred sixty-four".