760704224 has 72 divisors (see below), whose sum is σ = 1766944368. Its totient is φ = 321377280.

The previous prime is 760704223. The next prime is 760704229. The reversal of 760704224 is 422407067.

It is a super-2 number, since 2×760704224² = 1157341832822884352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760704223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107912 + ... + 114744.

It is an arithmetic number, because the mean of its divisors is an integer number (24540894).

Almost surely, 2^760704224 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 760704224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883472184).

760704224 is an abundant number, since it is smaller than the sum of its proper divisors (1006240144).

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

760704224 is a wasteful number, since it uses less digits than its factorization.

760704224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 760704224 is about 27580.8669914490. The cubic root of 760704224 is about 912.8623089688.

The spelling of 760704224 in words is "seven hundred sixty million, seven hundred four thousand, two hundred twenty-four".