763242816 has 168 divisors, whose sum is σ = 2425817856. Its totient is φ = 210954240.

The previous prime is 763242803. The next prime is 763242841. The reversal of 763242816 is 618242367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×763242816³ (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290340 + ... + 292956.

It is an arithmetic number, because the mean of its divisors is an integer number (14439392).

Almost surely, 2^763242816 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 763242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212908928).

763242816 is an abundant number, since it is smaller than the sum of its proper divisors (1662575040).

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

763242816 is a wasteful number, since it uses less digits than its factorization.

763242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2660 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 763242816 is about 27626.8495489442. The cubic root of 763242816 is about 913.8766374563.

The spelling of 763242816 in words is "seven hundred sixty-three million, two hundred forty-two thousand, eight hundred sixteen".