763064640 has 336 divisors, whose sum is σ = 2870758800. Its totient is φ = 184909824.

The previous prime is 763064633. The next prime is 763064657. The reversal of 763064640 is 46460367.

763064640 is a `hidden beast` number, since 7 + 6 + 3 + 0 + 6 + 4 + 640 = 666.

763064640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22353984 + 740710656 = 4728^2 + 27216^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 763064595 and 763064604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3332046 + ... + 3332274.

It is an arithmetic number, because the mean of its divisors is an integer number (8543925).

Almost surely, 2^763064640 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 763064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435379400).

763064640 is an abundant number, since it is smaller than the sum of its proper divisors (2107694160).

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

763064640 is a wasteful number, since it uses less digits than its factorization.

763064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 763064640 is about 27623.6246716466. The cubic root of 763064640 is about 913.8055182996.

The spelling of 763064640 in words is "seven hundred sixty-three million, sixty-four thousand, six hundred forty".