763633440 has 192 divisors, whose sum is σ = 2730309120. Its totient is φ = 199249920.

The previous prime is 763633397. The next prime is 763633457. The reversal of 763633440 is 44336367.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 763633395 and 763633404.

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, 201160 + ... + 204920.

It is an arithmetic number, because the mean of its divisors is an integer number (14220360).

Almost surely, 2^763633440 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 763633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365154560).

763633440 is an abundant number, since it is smaller than the sum of its proper divisors (1966675680).

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

763633440 is a wasteful number, since it uses less digits than its factorization.

763633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 763633440 is about 27633.9182889434. The cubic root of 763633440 is about 914.0325167548.

The spelling of 763633440 in words is "seven hundred sixty-three million, six hundred thirty-three thousand, four hundred forty".