761432448 has 256 divisors, whose sum is σ = 2579212800. Its totient is φ = 193757184.

The previous prime is 761432423. The next prime is 761432453. The reversal of 761432448 is 844234167.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 867786 + ... + 868662.

It is an arithmetic number, because the mean of its divisors is an integer number (10075050).

Almost surely, 2^761432448 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 761432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289606400).

761432448 is an abundant number, since it is smaller than the sum of its proper divisors (1817780352).

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

761432448 is a wasteful number, since it uses less digits than its factorization.

761432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 761432448 is about 27594.0654489330. The cubic root of 761432448 is about 913.1535111670.

The spelling of 761432448 in words is "seven hundred sixty-one million, four hundred thirty-two thousand, four hundred forty-eight".