786268764 has 72 divisors (see below), whose sum is σ = 2067024960. Its totient is φ = 251701632.

The previous prime is 786268699. The next prime is 786268783. The reversal of 786268764 is 467862687.

786268764 is a `hidden beast` number, since 7 + 8 + 626 + 8 + 7 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 786268764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203757 + ... + 207579.

It is an arithmetic number, because the mean of its divisors is an integer number (28708680).

Almost surely, 2^786268764 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 786268764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033512480).

786268764 is an abundant number, since it is smaller than the sum of its proper divisors (1280756196).

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

786268764 is a wasteful number, since it uses less digits than its factorization.

786268764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4054 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 786268764 is about 28040.4843752743. The cubic root of 786268764 is about 922.9758569028.

The spelling of 786268764 in words is "seven hundred eighty-six million, two hundred sixty-eight thousand, seven hundred sixty-four".