763416 has 48 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 242880.

The previous prime is 763409. The next prime is 763417. The reversal of 763416 is 614367.

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

It is a self number, because there is not a number n which added to its sum of digits gives 763416.

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 763416.

It is not an unprimeable number, because it can be changed into a prime (763417) by changing a digit.

763416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1426 + ... + 1886.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁷⁶³⁴¹⁶ 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 763416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

763416 is an abundant number, since it is smaller than the sum of its proper divisors (1398744).

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

763416 is a wasteful number, since it uses less digits than its factorization.

763416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

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

The square root of 763416 is about 873.7368024754. The cubic root of 763416 is about 91.3945753444.

The spelling of 763416 in words is "seven hundred sixty-three thousand, four hundred sixteen".