763188480 has 360 divisors, whose sum is σ = 2898142632. Its totient is φ = 191102976.

The previous prime is 763188469. The next prime is 763188487. The reversal of 763188480 is 84881367.

763188480 is a `hidden beast` number, since 7 + 631 + 8 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 717382656 = 6768^2 + 26784^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×763188480³ (a number of 28 digits) contains 333 as substring.

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 (763188487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762344 + ... + 1762776.

Almost surely, 2^763188480 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 763188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449071316).

763188480 is an abundant number, since it is smaller than the sum of its proper divisors (2134954152).

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

763188480 is a wasteful number, since it uses less digits than its factorization.

763188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 763188480 is about 27625.8661402679. The cubic root of 763188480 is about 913.8549503521.

The spelling of 763188480 in words is "seven hundred sixty-three million, one hundred eighty-eight thousand, four hundred eighty".