761796224 has 64 divisors (see below), whose sum is σ = 1738651200. Its totient is φ = 325693440.

The previous prime is 761796223. The next prime is 761796227. The reversal of 761796224 is 422697167.

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

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (761796221) by changing a digit.

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, 510872 + ... + 512360.

It is an arithmetic number, because the mean of its divisors is an integer number (27166425).

Almost surely, 2^761796224 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 761796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869325600).

761796224 is an abundant number, since it is smaller than the sum of its proper divisors (976854976).

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

761796224 is a wasteful number, since it uses less digits than its factorization.

761796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2069 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 761796224 is about 27600.6562240828. The cubic root of 761796224 is about 913.2989083703.

The spelling of 761796224 in words is "seven hundred sixty-one million, seven hundred ninety-six thousand, two hundred twenty-four".