763045680 has 160 divisors (see below), whose sum is σ = 2591352000. Its totient is φ = 184877056.

The previous prime is 763045649. The next prime is 763045691. The reversal of 763045680 is 86540367.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115096 + ... + 121544.

It is an arithmetic number, because the mean of its divisors is an integer number (16195950).

Almost surely, 2^763045680 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 763045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295676000).

763045680 is an abundant number, since it is smaller than the sum of its proper divisors (1828306320).

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

763045680 is a wasteful number, since it uses less digits than its factorization.

763045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 763045680 is about 27623.2814850083. The cubic root of 763045680 is about 913.7979497420.

The spelling of 763045680 in words is "seven hundred sixty-three million, forty-five thousand, six hundred eighty".