786261168 has 200 divisors, whose sum is σ = 2837556480. Its totient is φ = 204197760.

The previous prime is 786261163. The next prime is 786261197. The reversal of 786261168 is 861162687.

It is a happy number.

786261168 is a `hidden beast` number, since 7 + 8 + 626 + 1 + 16 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (786261163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95853 + ... + 103731.

Almost surely, 2^786261168 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 786261168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418778240).

786261168 is an abundant number, since it is smaller than the sum of its proper divisors (2051295312).

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

786261168 is a wasteful number, since it uses less digits than its factorization.

786261168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7917 (or 7902 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 786261168 is about 28040.3489279288. The cubic root of 786261168 is about 922.9728846591.

The spelling of 786261168 in words is "seven hundred eighty-six million, two hundred sixty-one thousand, one hundred sixty-eight".