760920 has 64 divisors (see below), whose sum is σ = 2423520. Its totient is φ = 190464.

The previous prime is 760913. The next prime is 760927. The reversal of 760920 is 29067.

760920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (760913) and next prime (760927).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854 + ... + 2226.

2⁷⁶⁰⁹²⁰ 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 760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760).

760920 is an abundant number, since it is smaller than the sum of its proper divisors (1662600).

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

760920 is a wasteful number, since it uses less digits than its factorization.

760920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 760920 is about 872.3072853072. The cubic root of 760920 is about 91.2948612839.

Adding to 760920 its reverse (29067), we get a palindrome (789987).

The spelling of 760920 in words is "seven hundred sixty thousand, nine hundred twenty".