760578048 has 96 divisors (see below), whose sum is σ = 2198043900. Its totient is φ = 253427712.

The previous prime is 760578047. The next prime is 760578083. The reversal of 760578048 is 840875067.

760578048 is a `hidden beast` number, since 76 + 0 + 578 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 760577994 and 760578012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760578047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293623 + ... + 296201.

Almost surely, 2^760578048 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 760578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099021950).

760578048 is an abundant number, since it is smaller than the sum of its proper divisors (1437465852).

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

760578048 is an equidigital number, since it uses as much as digits as its factorization.

760578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 760578048 is about 27578.5795138183. The cubic root of 760578048 is about 912.8118348248.

The spelling of 760578048 in words is "seven hundred sixty million, five hundred seventy-eight thousand, forty-eight".