763160240 has 80 divisors (see below), whose sum is σ = 1860255936. Its totient is φ = 290611200.

The previous prime is 763160239. The next prime is 763160257. The reversal of 763160240 is 42061367.

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

It is a super-3 number, since 3×763160240³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442580 + ... + 444300.

Almost surely, 2^763160240 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 763160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930127968).

763160240 is an abundant number, since it is smaller than the sum of its proper divisors (1097095696).

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

763160240 is a wasteful number, since it uses less digits than its factorization.

763160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 763160240 is about 27625.3550203432. The cubic root of 763160240 is about 913.8436785266.

The spelling of 763160240 in words is "seven hundred sixty-three million, one hundred sixty thousand, two hundred forty".