120764 has 24 divisors (see below), whose sum is σ = 255360. Its totient is φ = 48816.

The previous prime is 120763. The next prime is 120767. The reversal of 120764 is 467021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120763) 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, 419 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2¹²⁰⁷⁶⁴ is an apocalyptic number.

120764 is a gapful number since it is divisible by the number (14) 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 120764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

120764 is an abundant number, since it is smaller than the sum of its proper divisors (134596).

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

120764 is a wasteful number, since it uses less digits than its factorization.

120764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

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

The square root of 120764 is about 347.5111509002. The cubic root of 120764 is about 49.4286971226.

Adding to 120764 its reverse (467021), we get a palindrome (587785).

The spelling of 120764 in words is "one hundred twenty thousand, seven hundred sixty-four".