763266480 has 160 divisors (see below), whose sum is σ = 2533766400. Its totient is φ = 189490176.

The previous prime is 763266467. The next prime is 763266481. The reversal of 763266480 is 84662367.

It is a super-3 number, since 3×763266480³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (763266481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267622 + ... + 270458.

It is an arithmetic number, because the mean of its divisors is an integer number (15836040).

Almost surely, 2^763266480 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 763266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266883200).

763266480 is an abundant number, since it is smaller than the sum of its proper divisors (1770499920).

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

763266480 is a wasteful number, since it uses less digits than its factorization.

763266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 763266480 is about 27627.2778246428. The cubic root of 763266480 is about 913.8860821366.

The spelling of 763266480 in words is "seven hundred sixty-three million, two hundred sixty-six thousand, four hundred eighty".