764712 has 96 divisors (see below), whose sum is σ = 2402400. Its totient is φ = 217728.

The previous prime is 764689. The next prime is 764717. The reversal of 764712 is 217467.

764712 is a `hidden beast` number, since 7 + 647 + 12 = 666.

764712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (764717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17763 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

764712 is a Friedman number, since it can be written as (2/4-7)*(1-7^6), using all its digits and the basic arithmetic operations.

2⁷⁶⁴⁷¹² is an apocalyptic number.

764712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201200).

764712 is an abundant number, since it is smaller than the sum of its proper divisors (1637688).

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

764712 is a wasteful number, since it uses less digits than its factorization.

764712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 80 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 764712 is about 874.4781300867. The cubic root of 764712 is about 91.4462642471.

The spelling of 764712 in words is "seven hundred sixty-four thousand, seven hundred twelve".