763927680 has 256 divisors, whose sum is σ = 2628172800. Its totient is φ = 188116992.

The previous prime is 763927627. The next prime is 763927687. The reversal of 763927680 is 86729367.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (763927687) 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, 1568397 + ... + 1568883.

It is an arithmetic number, because the mean of its divisors is an integer number (10266300).

Almost surely, 2^763927680 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 763927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314086400).

763927680 is an abundant number, since it is smaller than the sum of its proper divisors (1864245120).

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

763927680 is a wasteful number, since it uses less digits than its factorization.

763927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 763927680 is about 27639.2416683237. The cubic root of 763927680 is about 914.1498987246.

The spelling of 763927680 in words is "seven hundred sixty-three million, nine hundred twenty-seven thousand, six hundred eighty".