763427808 has 384 divisors, whose sum is σ = 2702730240. Its totient is φ = 206530560.

The previous prime is 763427801. The next prime is 763427827. The reversal of 763427808 is 808724367.

It is a happy number.

763427808 is a `hidden beast` number, since 7 + 634 + 2 + 7 + 8 + 0 + 8 = 666.

763427808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763427801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571341 + ... + 4571507.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2^763427808 is an apocalyptic number.

763427808 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763427808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351365120).

763427808 is an abundant number, since it is smaller than the sum of its proper divisors (1939302432).

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

763427808 is a wasteful number, since it uses less digits than its factorization.

763427808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 763427808 is about 27630.1973934317. The cubic root of 763427808 is about 913.9504655166.

The spelling of 763427808 in words is "seven hundred sixty-three million, four hundred twenty-seven thousand, eight hundred eight".