763794048 has 64 divisors (see below), whose sum is σ = 2033039520. Its totient is φ = 254069760.

The previous prime is 763794029. The next prime is 763794067. The reversal of 763794048 is 840497367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (763794029) and next prime (763794067).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 763793988 and 763794006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212103 + ... + 215673.

Almost surely, 2^763794048 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 763794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016519760).

763794048 is an abundant number, since it is smaller than the sum of its proper divisors (1269245472).

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

763794048 is a wasteful number, since it uses less digits than its factorization.

763794048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 763794048 is about 27636.8241301348. The cubic root of 763794048 is about 914.0965922812.

The spelling of 763794048 in words is "seven hundred sixty-three million, seven hundred ninety-four thousand, forty-eight".