763005312 has 256 divisors, whose sum is σ = 2438208000. Its totient is φ = 234178560.

The previous prime is 763005311. The next prime is 763005361. The reversal of 763005312 is 213500367.

It is a happy number.

It is a super-2 number, since 2×763005312² = 1164354212280434688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763005311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2304987 + ... + 2305317.

It is an arithmetic number, because the mean of its divisors is an integer number (9524250).

Almost surely, 2^763005312 is an apocalyptic number.

763005312 is a gapful number since it is divisible by the number (72) 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 763005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219104000).

763005312 is an abundant number, since it is smaller than the sum of its proper divisors (1675202688).

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

763005312 is a wasteful number, since it uses less digits than its factorization.

763005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 763005312 is about 27622.5507873549. The cubic root of 763005312 is about 913.7818350029.

Adding to 763005312 its reverse (213500367), we get a palindrome (976505679).

The spelling of 763005312 in words is "seven hundred sixty-three million, five thousand, three hundred twelve".