793827864 has 80 divisors (see below), whose sum is σ = 2244429000. Its totient is φ = 262136304.

The previous prime is 793827857. The next prime is 793827883. The reversal of 793827864 is 468728397.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=642.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4064256) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 793827864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7418899 + ... + 7419005.

Almost surely, 2^793827864 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 793827864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122214500).

793827864 is an abundant number, since it is smaller than the sum of its proper divisors (1450601136).

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

793827864 is an frugal number, since it uses more digits than its factorization.

793827864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 112 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 793827864 is about 28174.9510026193. The cubic root of 793827864 is about 925.9242241374.

The spelling of 793827864 in words is "seven hundred ninety-three million, eight hundred twenty-seven thousand, eight hundred sixty-four".