763820064 has 576 divisors, whose sum is σ = 2970777600. Its totient is φ = 186126336.

The previous prime is 763819993. The next prime is 763820069. The reversal of 763820064 is 460028367.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763820069) 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 95 ways as a sum of consecutive naturals, for example, 33209557 + ... + 33209579.

It is an arithmetic number, because the mean of its divisors is an integer number (5157600).

Almost surely, 2^763820064 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 763820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485388800).

763820064 is an abundant number, since it is smaller than the sum of its proper divisors (2206957536).

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

763820064 is a wasteful number, since it uses less digits than its factorization.

763820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 763820064 is about 27637.2948024947. The cubic root of 763820064 is about 914.1069706753.

The spelling of 763820064 in words is "seven hundred sixty-three million, eight hundred twenty thousand, sixty-four".