763664416 has 72 divisors (see below), whose sum is σ = 1636543440. Its totient is φ = 349799040.

The previous prime is 763664399. The next prime is 763664417. The reversal of 763664416 is 614466367.

It is a super-3 number, since 3×763664416³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (763664417) 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, 583635 + ... + 584941.

It is an arithmetic number, because the mean of its divisors is an integer number (22729770).

Almost surely, 2^763664416 is an apocalyptic number.

763664416 is a gapful number since it is divisible by the number (76) 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 763664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818271720).

763664416 is an abundant number, since it is smaller than the sum of its proper divisors (872879024).

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

763664416 is a wasteful number, since it uses less digits than its factorization.

763664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1359 counting only the distinct ones).

The product of its digits is 435456, while the sum is 43.

The square root of 763664416 is about 27634.4787539045. The cubic root of 763664416 is about 914.0448755153.

The spelling of 763664416 in words is "seven hundred sixty-three million, six hundred sixty-four thousand, four hundred sixteen".