761220 has 36 divisors (see below), whose sum is σ = 2309580. Its totient is φ = 202944.

The previous prime is 761213. The next prime is 761227. The reversal of 761220 is 22167.

It is a happy number.

761220 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 (761213) and next prime (761227).

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 171396 = 768^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 761193 and 761202.

It is not an unprimeable number, because it can be changed into a prime (761227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1935 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (64155).

2⁷⁶¹²²⁰ is an apocalyptic number.

It is an amenable number.

761220 is an abundant number, since it is smaller than the sum of its proper divisors (1548360).

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

761220 is a wasteful number, since it uses less digits than its factorization.

761220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 761220 is about 872.4792261137. The cubic root of 761220 is about 91.3068576654.

Adding to 761220 its reverse (22167), we get a palindrome (783387).

It can be divided in two parts, 76 and 1220, that added together give a 4-th power (1296 = 6⁴).

The spelling of 761220 in words is "seven hundred sixty-one thousand, two hundred twenty".