864362772 has 192 divisors, whose sum is σ = 2833815040. Its totient is φ = 221709312.

The previous prime is 864362771. The next prime is 864362789. The reversal of 864362772 is 277263468.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (864362771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362448 + ... + 364824.

Almost surely, 2^864362772 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 864362772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416907520).

864362772 is an abundant number, since it is smaller than the sum of its proper divisors (1969452268).

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

864362772 is a wasteful number, since it uses less digits than its factorization.

864362772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 864362772 is about 29400.0471428193. The cubic root of 864362772 is about 952.5739145319.

The spelling of 864362772 in words is "eight hundred sixty-four million, three hundred sixty-two thousand, seven hundred seventy-two".