763423488 has 288 divisors, whose sum is σ = 2450347200. Its totient is φ = 233570304.

The previous prime is 763423487. The next prime is 763423511. The reversal of 763423488 is 884324367.

763423488 is a `hidden beast` number, since 7 + 634 + 2 + 3 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×763423488² = 1165630844060172288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (763423481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8577748 + ... + 8577836.

It is an arithmetic number, because the mean of its divisors is an integer number (8508150).

Almost surely, 2^763423488 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 763423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225173600).

763423488 is an abundant number, since it is smaller than the sum of its proper divisors (1686923712).

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

763423488 is a wasteful number, since it uses less digits than its factorization.

763423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 763423488 is about 27630.1192179838. The cubic root of 763423488 is about 913.9487415931.

The spelling of 763423488 in words is "seven hundred sixty-three million, four hundred twenty-three thousand, four hundred eighty-eight".