763420 has 72 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 241920.

The previous prime is 763417. The next prime is 763423. The reversal of 763420 is 24367.

763420 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 (763417) and next prime (763423).

It is a junction number, because it is equal to n+sod(n) for n = 763391 and 763400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18600 + ... + 18640.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁷⁶³⁴²⁰ is an apocalyptic number.

763420 is a gapful number since it is divisible by the number (70) 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 763420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

763420 is an abundant number, since it is smaller than the sum of its proper divisors (1247540).

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

763420 is a wasteful number, since it uses less digits than its factorization.

763420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 763420 is about 873.7390914913. The cubic root of 763420 is about 91.3947349680.

Adding to 763420 its reverse (24367), we get a palindrome (787787).

The spelling of 763420 in words is "seven hundred sixty-three thousand, four hundred twenty".