760009728 has 176 divisors, whose sum is σ = 2210760000. Its totient is φ = 231211008.

The previous prime is 760009721. The next prime is 760009729. The reversal of 760009728 is 827900067.

760009728 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×760009728² = 1155229573309267968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760009721) 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 15 ways as a sum of consecutive naturals, for example, 1692448 + ... + 1692896.

Almost surely, 2^760009728 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 760009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105380000).

760009728 is an abundant number, since it is smaller than the sum of its proper divisors (1450750272).

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

760009728 is a wasteful number, since it uses less digits than its factorization.

760009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 760009728 is about 27568.2739394399. The cubic root of 760009728 is about 912.5844207377.

The spelling of 760009728 in words is "seven hundred sixty million, nine thousand, seven hundred twenty-eight".