766388190096 has 45 divisors (see below), whose sum is σ = 2144851904689. Its totient is φ = 255459228288.

The previous prime is 766388190077. The next prime is 766388190187. The reversal of 766388190096 is 690091883667.

The square root of 766388190096 is 875436.

It is a perfect power (a square), and thus also a powerful number.

766388190096 is a `hidden beast` number, since 7 + 66 + 388 + 190 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 360792435600 + 405595754496 = 600660^2 + 636864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10468756 + ... + 10541708.

Almost surely, 2^766388190096 is an apocalyptic number.

766388190096 is the 875436-th square number.

It is an amenable number.

766388190096 is an abundant number, since it is smaller than the sum of its proper divisors (1378463714593).

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

766388190096 is an frugal number, since it uses more digits than its factorization.

766388190096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145920 (or 72958 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

It can be divided in two parts, 766388 and 190096, that added together give a square (956484 = 978²).

The spelling of 766388190096 in words is "seven hundred sixty-six billion, three hundred eighty-eight million, one hundred ninety thousand, ninety-six".