763398144 has 144 divisors (see below), whose sum is σ = 2235870000. Its totient is φ = 250896384.

The previous prime is 763398137. The next prime is 763398149. The reversal of 763398144 is 441893367.

763398144 is a `hidden beast` number, since 7 + 633 + 9 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 763398144.

It is not an unprimeable number, because it can be changed into a prime (763398149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1529607 + ... + 1530105.

It is an arithmetic number, because the mean of its divisors is an integer number (15526875).

Almost surely, 2^763398144 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 763398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117935000).

763398144 is an abundant number, since it is smaller than the sum of its proper divisors (1472471856).

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

763398144 is a wasteful number, since it uses less digits than its factorization.

763398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 587 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 763398144 is about 27629.6605842345. The cubic root of 763398144 is about 913.9386277775.

The spelling of 763398144 in words is "seven hundred sixty-three million, three hundred ninety-eight thousand, one hundred forty-four".