760048128 has 120 divisors (see below), whose sum is σ = 2507021088. Its totient is φ = 217147392.

The previous prime is 760048099. The next prime is 760048193. The reversal of 760048128 is 821840067.

760048128 is a `hidden beast` number, since 7 + 600 + 48 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 760048092 and 760048101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20475 + ... + 44037.

Almost surely, 2^760048128 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 760048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253510544).

760048128 is an abundant number, since it is smaller than the sum of its proper divisors (1746972960).

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

760048128 is a wasteful number, since it uses less digits than its factorization.

760048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23594 (or 23575 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 760048128 is about 27568.9703833857. The cubic root of 760048128 is about 912.5997901250.

The spelling of 760048128 in words is "seven hundred sixty million, forty-eight thousand, one hundred twenty-eight".