763447680 has 192 divisors, whose sum is σ = 2734477200. Its totient is φ = 203544576.

The previous prime is 763447627. The next prime is 763447687. The reversal of 763447680 is 86744367.

763447680 is a `hidden beast` number, since 7 + 634 + 4 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763447687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153066 + ... + 157974.

Almost surely, 2^763447680 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 763447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367238600).

763447680 is an abundant number, since it is smaller than the sum of its proper divisors (1971029520).

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

763447680 is an equidigital number, since it uses as much as digits as its factorization.

763447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 763447680 is about 27630.5569976430. The cubic root of 763447680 is about 913.9583954810.

The spelling of 763447680 in words is "seven hundred sixty-three million, four hundred forty-seven thousand, six hundred eighty".