763949360 has 80 divisors (see below), whose sum is σ = 1854530112. Its totient is φ = 292377600.

The previous prime is 763949341. The next prime is 763949369. The reversal of 763949360 is 63949367.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (763949369) 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 15 ways as a sum of consecutive naturals, for example, 178445 + ... + 182675.

Almost surely, 2^763949360 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 763949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927265056).

763949360 is an abundant number, since it is smaller than the sum of its proper divisors (1090580752).

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

763949360 is a wasteful number, since it uses less digits than its factorization.

763949360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 47.

The square root of 763949360 is about 27639.6338615402. The cubic root of 763949360 is about 914.1585463942.

The spelling of 763949360 in words is "seven hundred sixty-three million, nine hundred forty-nine thousand, three hundred sixty".