763210368 has 96 divisors (see below), whose sum is σ = 2206132500. Its totient is φ = 253255680.

The previous prime is 763210363. The next prime is 763210381. The reversal of 763210368 is 863012367.

It is a happy number.

763210368 is a `hidden beast` number, since 7 + 632 + 10 + 3 + 6 + 8 = 666.

763210368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 757790784 + 5419584 = 27528^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×763210368³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (763210363) 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, 276258 + ... + 279006.

Almost surely, 2^763210368 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 763210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103066250).

763210368 is an abundant number, since it is smaller than the sum of its proper divisors (1442922132).

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

763210368 is a wasteful number, since it uses less digits than its factorization.

763210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 763210368 is about 27626.2622879028. The cubic root of 763210368 is about 913.8636866239.

The spelling of 763210368 in words is "seven hundred sixty-three million, two hundred ten thousand, three hundred sixty-eight".