763830 has 80 divisors (see below), whose sum is σ = 2195424. Its totient is φ = 190080.

The previous prime is 763823. The next prime is 763843. The reversal of 763830 is 38367.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 763794 and 763803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 763830.

It is an unprimeable number.

763830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18610 + ... + 18650.

2⁷⁶³⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712).

763830 is an abundant number, since it is smaller than the sum of its proper divisors (1431594).

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

763830 is a wasteful number, since it uses less digits than its factorization.

763830 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 763830 is about 873.9736838143. The cubic root of 763830 is about 91.4110934317.

The spelling of 763830 in words is "seven hundred sixty-three thousand, eight hundred thirty".