763225440 has 192 divisors, whose sum is σ = 2580076800. Its totient is φ = 189057024.

The previous prime is 763225429. The next prime is 763225453. The reversal of 763225440 is 44522367.

It is a super-3 number, since 3×763225440³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 482571 + ... + 484149.

It is an arithmetic number, because the mean of its divisors is an integer number (13437900).

Almost surely, 2^763225440 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 763225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290038400).

763225440 is an abundant number, since it is smaller than the sum of its proper divisors (1816851360).

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

763225440 is a wasteful number, since it uses less digits than its factorization.

763225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 763225440 is about 27626.5350704716. The cubic root of 763225440 is about 913.8697022929.

The spelling of 763225440 in words is "seven hundred sixty-three million, two hundred twenty-five thousand, four hundred forty".