786996088384 has 189 divisors, whose sum is σ = 1826569109491. Its totient is φ = 336115056640.

The previous prime is 786996088369. The next prime is 786996088393. The reversal of 786996088384 is 483880699687.

The square root of 786996088384 is 887128.

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

It can be written as a sum of positive squares in 4 ways, for example, as 125831953984 + 661164134400 = 354728^2 + 813120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 786996088384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1327143192 + ... + 1327143784.

Almost surely, 2^786996088384 is an apocalyptic number.

786996088384 is the 887128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 786996088384

786996088384 is an abundant number, since it is smaller than the sum of its proper divisors (1039573021107).

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

786996088384 is an equidigital number, since it uses as much as digits as its factorization.

786996088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 76.

The spelling of 786996088384 in words is "seven hundred eighty-six billion, nine hundred ninety-six million, eighty-eight thousand, three hundred eighty-four".