763216000 has 64 divisors (see below), whose sum is σ = 1897585560. Its totient is φ = 305280000.

The previous prime is 763215979. The next prime is 763216007. The reversal of 763216000 is 612367.

It can be written as a sum of positive squares in 4 ways, for example, as 202094656 + 561121344 = 14216^2 + 23688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×763216000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (763216007) 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 7 ways as a sum of consecutive naturals, for example, 7851 + ... + 39850.

Almost surely, 2^763216000 is an apocalyptic number.

It is an amenable number.

763216000 is an abundant number, since it is smaller than the sum of its proper divisors (1134369560).

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

763216000 is an equidigital number, since it uses as much as digits as its factorization.

763216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47730 (or 47708 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 763216000 is about 27626.3642197087. The cubic root of 763216000 is about 913.8659345264.

Adding to 763216000 its reverse (612367), we get a palindrome (763828367).

It can be divided in two parts, 7632 and 16000, that added together give a palindrome (23632).

The spelling of 763216000 in words is "seven hundred sixty-three million, two hundred sixteen thousand".