763660144 has 40 divisors (see below), whose sum is σ = 1606008320. Its totient is φ = 349671168.

The previous prime is 763660129. The next prime is 763660147. The reversal of 763660144 is 441066367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763660147) 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, 11962 + ... + 40870.

It is an arithmetic number, because the mean of its divisors is an integer number (40150208).

Almost surely, 2^763660144 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 763660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803004160).

763660144 is an abundant number, since it is smaller than the sum of its proper divisors (842348176).

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

763660144 is a wasteful number, since it uses less digits than its factorization.

763660144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29057 (or 29051 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 763660144 is about 27634.4014590510. The cubic root of 763660144 is about 914.0431710987.

The spelling of 763660144 in words is "seven hundred sixty-three million, six hundred sixty thousand, one hundred forty-four".