763340448 has 96 divisors (see below), whose sum is σ = 2164893696. Its totient is φ = 234114048.

The previous prime is 763340441. The next prime is 763340507. The reversal of 763340448 is 844043367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (763340441) by changing a digit.

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, 477186 + ... + 478782.

It is an arithmetic number, because the mean of its divisors is an integer number (22550976).

Almost surely, 2^763340448 is an apocalyptic number.

763340448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763340448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082446848).

763340448 is an abundant number, since it is smaller than the sum of its proper divisors (1401553248).

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

763340448 is a wasteful number, since it uses less digits than its factorization.

763340448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 763340448 is about 27628.6164691611. The cubic root of 763340448 is about 913.9156026881.

The spelling of 763340448 in words is "seven hundred sixty-three million, three hundred forty thousand, four hundred forty-eight".