760199328 has 216 divisors, whose sum is σ = 2544036768. Its totient is φ = 214679808.

The previous prime is 760199317. The next prime is 760199333. The reversal of 760199328 is 823991067.

760199328 is a `hidden beast` number, since 7 + 601 + 9 + 9 + 32 + 8 = 666.

760199328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1453275 + ... + 1453797.

It is an arithmetic number, because the mean of its divisors is an integer number (11777948).

Almost surely, 2^760199328 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 760199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272018384).

760199328 is an abundant number, since it is smaller than the sum of its proper divisors (1783837440).

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

760199328 is a wasteful number, since it uses less digits than its factorization.

760199328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 760199328 is about 27571.7124604186. The cubic root of 760199328 is about 912.6603020558.

It can be divided in two parts, 7601 and 99328, that added together give a square (106929 = 327²).

The spelling of 760199328 in words is "seven hundred sixty million, one hundred ninety-nine thousand, three hundred twenty-eight".