763220 has 24 divisors (see below), whose sum is σ = 1655808. Its totient is φ = 295200.

The previous prime is 763201. The next prime is 763223. The reversal of 763220 is 22367.

763220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×763220³ = 1333737868014744000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 763192 and 763201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763223) 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, 5 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (68992).

2⁷⁶³²²⁰ 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 763220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827904).

763220 is an abundant number, since it is smaller than the sum of its proper divisors (892588).

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

763220 is a wasteful number, since it uses less digits than its factorization.

763220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 763220 is about 873.6246333523. The cubic root of 763220 is about 91.3867531041.

Adding to 763220 its reverse (22367), we get a palindrome (785587).

The spelling of 763220 in words is "seven hundred sixty-three thousand, two hundred twenty".