764120 has 32 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 261888.

The previous prime is 764111. The next prime is 764131. The reversal of 764120 is 21467.

764120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 764092 and 764101.

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 764120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085 + ... + 1644.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2⁷⁶⁴¹²⁰ is an apocalyptic number.

764120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

764120 is an abundant number, since it is smaller than the sum of its proper divisors (1201480).

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

764120 is a wasteful number, since it uses less digits than its factorization.

764120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 764120 is about 874.1395769555. The cubic root of 764120 is about 91.4226605182.

Adding to 764120 its reverse (21467), we get a palindrome (785587).

The spelling of 764120 in words is "seven hundred sixty-four thousand, one hundred twenty".