763448448 has 128 divisors (see below), whose sum is σ = 2367313920. Its totient is φ = 213451776.

The previous prime is 763448437. The next prime is 763448449. The reversal of 763448448 is 844844367.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 763448397 and 763448406.

It is not an unprimeable number, because it can be changed into a prime (763448449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123315 + ... + 129357.

It is an arithmetic number, because the mean of its divisors is an integer number (18494640).

Almost surely, 2^763448448 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 763448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183656960).

763448448 is an abundant number, since it is smaller than the sum of its proper divisors (1603865472).

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

763448448 is a wasteful number, since it uses less digits than its factorization.

763448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6102 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 763448448 is about 27630.5708952964. The cubic root of 763448448 is about 913.9587019503.

The spelling of 763448448 in words is "seven hundred sixty-three million, four hundred forty-eight thousand, four hundred forty-eight".